480707334080 has 56 divisors (see below), whose sum is σ = 1145553187680. Its totient is φ = 192136985600.

The previous prime is 480707334007. The next prime is 480707334091. The reversal of 480707334080 is 80433707084.

It is a super-3 number, since 3×480707334080³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147371 + ... + 991530.

Almost surely, 2^480707334080 is an apocalyptic number.

480707334080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480707334080 is an abundant number, since it is smaller than the sum of its proper divisors (664845853600).

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

480707334080 is a wasteful number, since it uses less digits than its factorization.

480707334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140237 (or 1140227 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 480707334080 in words is "four hundred eighty billion, seven hundred seven million, three hundred thirty-four thousand, eighty".