481664320 has 28 divisors (see below), whose sum is σ = 1146963924. Its totient is φ = 192665600.

The previous prime is 481664311. The next prime is 481664347. The reversal of 481664320 is 23466184.

It can be written as a sum of positive squares in 2 ways, for example, as 292546816 + 189117504 = 17104^2 + 13752^2 .

It is a super-2 number, since 2×481664320² = 464001034322124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752281 + ... + 752920.

Almost surely, 2^481664320 is an apocalyptic number.

481664320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481664320 is an abundant number, since it is smaller than the sum of its proper divisors (665299604).

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

481664320 is a wasteful number, since it uses less digits than its factorization.

481664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505218 (or 1505208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 481664320 is about 21946.8521660852. The cubic root of 481664320 is about 783.8774277349.

The spelling of 481664320 in words is "four hundred eighty-one million, six hundred sixty-four thousand, three hundred twenty".