480412656 has 60 divisors (see below), whose sum is σ = 1423582992. Its totient is φ = 150716928.

The previous prime is 480412651. The next prime is 480412687. The reversal of 480412656 is 656214084.

480412656 is a `hidden beast` number, since 480 + 4 + 126 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480412656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480412651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95676 + ... + 100571.

Almost surely, 2^480412656 is an apocalyptic number.

It is an amenable number.

480412656 is an abundant number, since it is smaller than the sum of its proper divisors (943170336).

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

480412656 is a wasteful number, since it uses less digits than its factorization.

480412656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196278 (or 196269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 480412656 is about 21918.3178186648. The cubic root of 480412656 is about 783.1978380804.

The spelling of 480412656 in words is "four hundred eighty million, four hundred twelve thousand, six hundred fifty-six".