456971252 has 24 divisors (see below), whose sum is σ = 815150952. Its totient is φ = 224092800.

The previous prime is 456971231. The next prime is 456971267. The reversal of 456971252 is 252179654.

It can be written as a sum of positive squares in 4 ways, for example, as 53523856 + 403447396 = 7316^2 + 20086^2 .

It is a congruent number.

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, 88502 + ... + 93522.

It is an arithmetic number, because the mean of its divisors is an integer number (33964623).

Almost surely, 2^456971252 is an apocalyptic number.

It is an amenable number.

456971252 is a deficient number, since it is larger than the sum of its proper divisors (358179700).

456971252 is a wasteful number, since it uses less digits than its factorization.

456971252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5457 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 456971252 is about 21376.8859284976. The cubic root of 456971252 is about 770.2463101368.

The spelling of 456971252 in words is "four hundred fifty-six million, nine hundred seventy-one thousand, two hundred fifty-two".