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450468 = 22334397
BaseRepresentation
bin1101101111110100100
3211212221000
41231332210
5103403333
613353300
73554214
oct1557644
9755830
10450468
11288497
12198830
1312a065
14ba244
158d713
hex6dfa4

450468 has 48 divisors (see below), whose sum is σ = 1207360. Its totient is φ = 145152.

The previous prime is 450451. The next prime is 450473. The reversal of 450468 is 864054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

450468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4596 + ... + 4692.

2450468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603680).

450468 is an abundant number, since it is smaller than the sum of its proper divisors (756892).

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

450468 is a wasteful number, since it uses less digits than its factorization.

450468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450468 is about 671.1691292066. The cubic root of 450468 is about 76.6574994290.

It can be divided in two parts, 45046 and 8, that added together give a palindrome (45054).

The spelling of 450468 in words is "four hundred fifty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 97 108 129 172 194 258 291 387 388 516 582 774 873 1161 1164 1548 1746 2322 2619 3492 4171 4644 5238 8342 10476 12513 16684 25026 37539 50052 75078 112617 150156 225234 450468