Search a number
-
+
455245440 = 27351322361
BaseRepresentation
bin11011001000100…
…111111010000000
31011201121212100020
4123020213322000
51413020323230
6113101253440
714165344116
oct3310477200
91151555306
10455245440
11213a79701
12108564280
1373415400
1444665ab6
1529e77810
hex1b227e80

455245440 has 384 divisors, whose sum is σ = 1666500480. Its totient is φ = 105431040.

The previous prime is 455245421. The next prime is 455245457. The reversal of 455245440 is 44542554.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7463010 + ... + 7463070.

It is an arithmetic number, because the mean of its divisors is an integer number (4339845).

Almost surely, 2455245440 is an apocalyptic number.

455245440 is a gapful number since it is divisible by the number (40) 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 455245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833250240).

455245440 is an abundant number, since it is smaller than the sum of its proper divisors (1211255040).

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

455245440 is a wasteful number, since it uses less digits than its factorization.

455245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 455245440 is about 21336.4814343884. The cubic root of 455245440 is about 769.2754414262.

Adding to 455245440 its reverse (44542554), we get a palindrome (499787994).

The spelling of 455245440 in words is "four hundred fifty-five million, two hundred forty-five thousand, four hundred forty".