480718080 has 108 divisors (see below), whose sum is σ = 1663274340. Its totient is φ = 128188416.

The previous prime is 480718079. The next prime is 480718087. The reversal of 480718080 is 80817084.

It can be written as a sum of positive squares in 2 ways, for example, as 85821696 + 394896384 = 9264^2 + 19872^2 .

It is a super-3 number, since 3×480718080³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480718087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9345 + ... + 32384.

Almost surely, 2^480718080 is an apocalyptic number.

480718080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480718080 is an abundant number, since it is smaller than the sum of its proper divisors (1182556260).

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

480718080 is a wasteful number, since it uses less digits than its factorization.

480718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41756 (or 41739 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 480718080 is about 21925.2840346482. The cubic root of 480718080 is about 783.3637764940.

The spelling of 480718080 in words is "four hundred eighty million, seven hundred eighteen thousand, eighty".