456775056 has 120 divisors (see below), whose sum is σ = 1338363000. Its totient is φ = 145238016.

The previous prime is 456775043. The next prime is 456775069. The reversal of 456775056 is 650577654.

It is an interprime number because it is at equal distance from previous prime (456775043) and next prime (456775069).

It can be written as a sum of positive squares in 4 ways, for example, as 134931456 + 321843600 = 11616^2 + 17940^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371050 + ... + 372278.

It is an arithmetic number, because the mean of its divisors is an integer number (11153025).

Almost surely, 2^456775056 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 456775056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669181500).

456775056 is an abundant number, since it is smaller than the sum of its proper divisors (881587944).

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

456775056 is a wasteful number, since it uses less digits than its factorization.

456775056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 456775056 is about 21372.2964606053. The cubic root of 456775056 is about 770.1360618614.

The spelling of 456775056 in words is "four hundred fifty-six million, seven hundred seventy-five thousand, fifty-six".