456417052 has 48 divisors (see below), whose sum is σ = 1009650880. Its totient is φ = 175675392.

The previous prime is 456417041. The next prime is 456417053. The reversal of 456417052 is 250714654.

It is a junction number, because it is equal to n+sod(n) for n = 456416999 and 456417017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456417053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477 + ... + 30412.

Almost surely, 2^456417052 is an apocalyptic number.

It is an amenable number.

456417052 is an abundant number, since it is smaller than the sum of its proper divisors (553233828).

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

456417052 is a wasteful number, since it uses less digits than its factorization.

456417052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33950 (or 33948 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 456417052 is about 21363.9193969646. The cubic root of 456417052 is about 769.9348075463.

The spelling of 456417052 in words is "four hundred fifty-six million, four hundred seventeen thousand, fifty-two".