455380560 has 60 divisors (see below), whose sum is σ = 1529322132. Its totient is φ = 121434624.

The previous prime is 455380537. The next prime is 455380577. The reversal of 455380560 is 65083554.

455380560 is a `hidden beast` number, since 45 + 53 + 8 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96353856 + 359026704 = 9816^2 + 18948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 315517 + ... + 316956.

Almost surely, 2^455380560 is an apocalyptic number.

455380560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455380560 is an abundant number, since it is smaller than the sum of its proper divisors (1073941572).

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

455380560 is a wasteful number, since it uses less digits than its factorization.

455380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632492 (or 632483 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 455380560 is about 21339.6476072123. The cubic root of 455380560 is about 769.3515426574.

The spelling of 455380560 in words is "four hundred fifty-five million, three hundred eighty thousand, five hundred sixty".