455680512 has 320 divisors, whose sum is σ = 1638109440. Its totient is φ = 122093568.

The previous prime is 455680483. The next prime is 455680607. The reversal of 455680512 is 215086554.

455680512 is a `hidden beast` number, since 45 + 568 + 0 + 51 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644918 + ... + 1645194.

It is an arithmetic number, because the mean of its divisors is an integer number (5119092).

Almost surely, 2^455680512 is an apocalyptic number.

455680512 is a gapful number since it is divisible by the number (42) 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 455680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819054720).

455680512 is an abundant number, since it is smaller than the sum of its proper divisors (1182428928).

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

455680512 is a wasteful number, since it uses less digits than its factorization.

455680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 455680512 is about 21346.6744951058. The cubic root of 455680512 is about 769.5204254958.

The spelling of 455680512 in words is "four hundred fifty-five million, six hundred eighty thousand, five hundred twelve".