456829056 has 96 divisors (see below), whose sum is σ = 1318799820. Its totient is φ = 151787520.

The previous prime is 456829031. The next prime is 456829057. The reversal of 456829056 is 650928654.

It can be written as a sum of positive squares in 2 ways, for example, as 425019456 + 31809600 = 20616^2 + 5640^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×456829056² = 417385572811702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456829057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622866 + ... + 623598.

Almost surely, 2^456829056 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 456829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659399910).

456829056 is an abundant number, since it is smaller than the sum of its proper divisors (861970764).

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

456829056 is a wasteful number, since it uses less digits than its factorization.

456829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 456829056 is about 21373.5597409510. The cubic root of 456829056 is about 770.1664091903.

The spelling of 456829056 in words is "four hundred fifty-six million, eight hundred twenty-nine thousand, fifty-six".