455825664 has 144 divisors (see below), whose sum is σ = 1540685440. Its totient is φ = 130222080.

The previous prime is 455825647. The next prime is 455825701. The reversal of 455825664 is 466528554.

455825664 is a `hidden beast` number, since 4 + 5 + 5 + 82 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×455825664² = 415554071922081792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43674 + ... + 53094.

Almost surely, 2^455825664 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 455825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770342720).

455825664 is an abundant number, since it is smaller than the sum of its proper divisors (1084859776).

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

455825664 is an equidigital number, since it uses as much as digits as its factorization.

455825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9433 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 455825664 is about 21350.0740982321. The cubic root of 455825664 is about 769.6021242358.

The spelling of 455825664 in words is "four hundred fifty-five million, eight hundred twenty-five thousand, six hundred sixty-four".