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450601404 = 2231116720441
BaseRepresentation
bin11010110110111…
…010000110111100
31011101212220220220
4122312322012330
51410323221104
6112413541340
714111022501
oct3266720674
91141786826
10450601404
11211397560
12106aa4850
137247a666
1443bb74a8
152985b7d9
hex1adba1bc

450601404 has 48 divisors (see below), whose sum is σ = 1153910016. Its totient is φ = 135721600.

The previous prime is 450601387. The next prime is 450601421. The reversal of 450601404 is 404106054.

It is an interprime number because it is at equal distance from previous prime (450601387) and next prime (450601421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11824 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (24039792).

Almost surely, 2450601404 is an apocalyptic number.

450601404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450601404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576955008).

450601404 is an abundant number, since it is smaller than the sum of its proper divisors (703308612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450601404 is a wasteful number, since it uses less digits than its factorization.

450601404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20626 (or 20624 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 450601404 is about 21227.3739308469. The cubic root of 450601404 is about 766.6506593591.

Adding to 450601404 its reverse (404106054), we get a palindrome (854707458).

It can be divided in two parts, 45060 and 1404, that added together give a palindrome (46464).

The spelling of 450601404 in words is "four hundred fifty million, six hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 7348 11022 20441 22044 40882 61323 81764 122646 224851 245292 449702 674553 899404 1349106 2698212 3413647 6827294 10240941 13654588 20481882 37550117 40963764 75100234 112650351 150200468 225300702 450601404