455938560 has 480 divisors, whose sum is σ = 1976337792. Its totient is φ = 94371840.

The previous prime is 455938541. The next prime is 455938577. The reversal of 455938560 is 65839554.

455938560 is a `hidden beast` number, since 4 + 5 + 59 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773952 + ... + 1774208.

Almost surely, 2^455938560 is an apocalyptic number.

455938560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988168896).

455938560 is an abundant number, since it is smaller than the sum of its proper divisors (1520399232).

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

455938560 is a wasteful number, since it uses less digits than its factorization.

455938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 455938560 is about 21352.7178597948. The cubic root of 455938560 is about 769.6656557101.

The spelling of 455938560 in words is "four hundred fifty-five million, nine hundred thirty-eight thousand, five hundred sixty".