455890464 has 96 divisors (see below), whose sum is σ = 1372654080. Its totient is φ = 147052800.

The previous prime is 455890453. The next prime is 455890483. The reversal of 455890464 is 464098554.

455890464 is a `hidden beast` number, since 4 + 5 + 589 + 0 + 4 + 64 = 666.

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

It is a super-2 number, since 2×455890464² = 415672230332270592, 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, 18274 + ... + 35294.

It is an arithmetic number, because the mean of its divisors is an integer number (14298480).

Almost surely, 2^455890464 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 455890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686327040).

455890464 is an abundant number, since it is smaller than the sum of its proper divisors (916763616).

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

455890464 is a wasteful number, since it uses less digits than its factorization.

455890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17071 (or 17057 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 455890464 is about 21351.5916034379. The cubic root of 455890464 is about 769.6385912878.

The spelling of 455890464 in words is "four hundred fifty-five million, eight hundred ninety thousand, four hundred sixty-four".