456355328 has 160 divisors (see below), whose sum is σ = 1121928192. Its totient is φ = 182476800.

The previous prime is 456355303. The next prime is 456355337. The reversal of 456355328 is 823553654.

Its product of digits (432000) is a multiple of the sum of its prime divisors (320).

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 15 ways as a sum of consecutive naturals, for example, 1683833 + ... + 1684103.

Almost surely, 2^456355328 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 456355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560964096).

456355328 is an abundant number, since it is smaller than the sum of its proper divisors (665572864).

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

456355328 is a wasteful number, since it uses less digits than its factorization.

456355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 456355328 is about 21362.4747630044. The cubic root of 456355328 is about 769.9000983563.

The spelling of 456355328 in words is "four hundred fifty-six million, three hundred fifty-five thousand, three hundred twenty-eight".