456642752 has 56 divisors (see below), whose sum is σ = 942807360. Its totient is φ = 219248640.

The previous prime is 456642743. The next prime is 456642761. The reversal of 456642752 is 257246654.

It is an interprime number because it is at equal distance from previous prime (456642743) and next prime (456642761).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185852 + ... + 188292.

Almost surely, 2^456642752 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 456642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471403680).

456642752 is an abundant number, since it is smaller than the sum of its proper divisors (486164608).

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

456642752 is a wasteful number, since it uses less digits than its factorization.

456642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2559 counting only the distinct ones).

The product of its digits is 403200, while the sum is 41.

The square root of 456642752 is about 21369.2010145443. The cubic root of 456642752 is about 770.0616985474.

The spelling of 456642752 in words is "four hundred fifty-six million, six hundred forty-two thousand, seven hundred fifty-two".