470916480 has 64 divisors (see below), whose sum is σ = 1501052400. Its totient is φ = 125577216.

The previous prime is 470916451. The next prime is 470916493. The reversal of 470916480 is 84619074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×470916480² = 443524662271180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120715 + ... + 124554.

Almost surely, 2^470916480 is an apocalyptic number.

470916480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470916480 is an abundant number, since it is smaller than the sum of its proper divisors (1030135920).

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

470916480 is a wasteful number, since it uses less digits than its factorization.

470916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245291 (or 245279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 470916480 is about 21700.6101296715. The cubic root of 470916480 is about 778.0030442891.

The spelling of 470916480 in words is "four hundred seventy million, nine hundred sixteen thousand, four hundred eighty".