456270752 has 72 divisors (see below), whose sum is σ = 1106473284. Its totient is φ = 184031232.

The previous prime is 456270713. The next prime is 456270761. The reversal of 456270752 is 257072654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 432806416 + 23464336 = 20804^2 + 4844^2 .

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, 18098 + ... + 35214.

Almost surely, 2^456270752 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 456270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553236642).

456270752 is an abundant number, since it is smaller than the sum of its proper divisors (650202532).

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

456270752 is a wasteful number, since it uses less digits than its factorization.

456270752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17158 (or 17143 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 456270752 is about 21360.4951253476. The cubic root of 456270752 is about 769.8525337433.

The spelling of 456270752 in words is "four hundred fifty-six million, two hundred seventy thousand, seven hundred fifty-two".