456808752 has 60 divisors (see below), whose sum is σ = 1283832264. Its totient is φ = 151626240.

The previous prime is 456808721. The next prime is 456808799. The reversal of 456808752 is 257808654.

456808752 is a `hidden beast` number, since 4 + 568 + 0 + 87 + 5 + 2 = 666.

It is a super-3 number, since 3×456808752³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456808698 and 456808707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28123 + ... + 41285.

Almost surely, 2^456808752 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 456808752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641916132).

456808752 is an abundant number, since it is smaller than the sum of its proper divisors (827023512).

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

456808752 is a wasteful number, since it uses less digits than its factorization.

456808752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 456808752 is about 21373.0847563004. The cubic root of 456808752 is about 770.1549988752.

The spelling of 456808752 in words is "four hundred fifty-six million, eight hundred eight thousand, seven hundred fifty-two".