456265728 has 78 divisors (see below), whose sum is σ = 1318046574. Its totient is φ = 152076288.

The previous prime is 456265699. The next prime is 456265751. The reversal of 456265728 is 827562654.

456265728 is a `hidden beast` number, since 4 + 56 + 26 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305270784 + 150994944 = 17472^2 + 12288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30676 + ... + 43052.

It is an arithmetic number, because the mean of its divisors is an integer number (16898033).

Almost surely, 2^456265728 is an apocalyptic number.

456265728 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 456265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659023287).

456265728 is an abundant number, since it is smaller than the sum of its proper divisors (861780846).

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

456265728 is a wasteful number, since it uses less digits than its factorization.

456265728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12407 (or 12382 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 456265728 is about 21360.3775247536. The cubic root of 456265728 is about 769.8497081160.

The spelling of 456265728 in words is "four hundred fifty-six million, two hundred sixty-five thousand, seven hundred twenty-eight".