480746857320 has 64 divisors (see below), whose sum is σ = 1602489528000. Its totient is φ = 128199161664.

The previous prime is 480746857319. The next prime is 480746857337. The reversal of 480746857320 is 23758647084.

480746857320 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 4 + 68 + 573 + 2 + 0 = 666.

It is a super-3 number, since 3×480746857320³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222566910 + ... + 222569069.

It is an arithmetic number, because the mean of its divisors is an integer number (25038898875).

Almost surely, 2^480746857320 is an apocalyptic number.

480746857320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480746857320 is an abundant number, since it is smaller than the sum of its proper divisors (1121742670680).

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

480746857320 is a wasteful number, since it uses less digits than its factorization.

480746857320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445135999 (or 445135989 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 480746857320 in words is "four hundred eighty billion, seven hundred forty-six million, eight hundred fifty-seven thousand, three hundred twenty".