455794560 has 256 divisors, whose sum is σ = 1739304000. Its totient is φ = 112140288.

The previous prime is 455794513. The next prime is 455794567. The reversal of 455794560 is 65497554.

455794560 is a `hidden beast` number, since 4 + 557 + 94 + 5 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455794567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223626 + ... + 225654.

Almost surely, 2^455794560 is an apocalyptic number.

455794560 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 455794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869652000).

455794560 is an abundant number, since it is smaller than the sum of its proper divisors (1283509440).

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

455794560 is a wasteful number, since it uses less digits than its factorization.

455794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 455794560 is about 21349.3456574200. The cubic root of 455794560 is about 769.5846188232.

The spelling of 455794560 in words is "four hundred fifty-five million, seven hundred ninety-four thousand, five hundred sixty".