456251328 has 252 divisors, whose sum is σ = 1462323720. Its totient is φ = 135862272.

The previous prime is 456251303. The next prime is 456251339. The reversal of 456251328 is 823152654.

456251328 is a `hidden beast` number, since 4 + 5 + 625 + 1 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 456251292 and 456251301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4185738 + ... + 4185846.

Almost surely, 2^456251328 is an apocalyptic number.

456251328 is a gapful number since it is divisible by the number (48) 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 456251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731161860).

456251328 is an abundant number, since it is smaller than the sum of its proper divisors (1006072392).

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

456251328 is a wasteful number, since it uses less digits than its factorization.

456251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 456251328 is about 21360.0404493999. The cubic root of 456251328 is about 769.8416090692.

The spelling of 456251328 in words is "four hundred fifty-six million, two hundred fifty-one thousand, three hundred twenty-eight".