456617728 has 72 divisors (see below), whose sum is σ = 1096565120. Its totient is φ = 185379840.

The previous prime is 456617717. The next prime is 456617729. The reversal of 456617728 is 827716654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456617729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27343 + ... + 40753.

Almost surely, 2^456617728 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 456617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548282560).

456617728 is an abundant number, since it is smaller than the sum of its proper divisors (639947392).

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

456617728 is a wasteful number, since it uses less digits than its factorization.

456617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13439 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 456617728 is about 21368.6154909484. The cubic root of 456617728 is about 770.0476318429.

The spelling of 456617728 in words is "four hundred fifty-six million, six hundred seventeen thousand, seven hundred twenty-eight".