456575952 has 40 divisors (see below), whose sum is σ = 1347987136. Its totient is φ = 130450176.

The previous prime is 456575929. The next prime is 456575957. The reversal of 456575952 is 259575654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456575957) 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, 679093 + ... + 679764.

Almost surely, 2^456575952 is an apocalyptic number.

456575952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456575952 is an abundant number, since it is smaller than the sum of its proper divisors (891411184).

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

456575952 is a wasteful number, since it uses less digits than its factorization.

456575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358875 (or 1358869 counting only the distinct ones).

The product of its digits is 1890000, while the sum is 48.

The square root of 456575952 is about 21367.6379602426. The cubic root of 456575952 is about 770.0241472160.

The spelling of 456575952 in words is "four hundred fifty-six million, five hundred seventy-five thousand, nine hundred fifty-two".