481585306320 has 60 divisors (see below), whose sum is σ = 1617323989476. Its totient is φ = 128422748160.

The previous prime is 481585306303. The next prime is 481585306337. The reversal of 481585306320 is 23603585184.

481585306320 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 8 + 5 + 3 + 0 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (481585306303) and next prime (481585306337).

It can be written as a sum of positive squares in 2 ways, for example, as 379865134224 + 101720172096 = 616332^2 + 318936^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334433521 + ... + 334434960.

Almost surely, 2^481585306320 is an apocalyptic number.

481585306320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481585306320 is an abundant number, since it is smaller than the sum of its proper divisors (1135738683156).

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

481585306320 is a wasteful number, since it uses less digits than its factorization.

481585306320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668868500 (or 668868491 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 481585306320 in words is "four hundred eighty-one billion, five hundred eighty-five million, three hundred six thousand, three hundred twenty".