480804720 has 80 divisors (see below), whose sum is σ = 1626003072. Its totient is φ = 116558080.

The previous prime is 480804713. The next prime is 480804739. The reversal of 480804720 is 27408084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480804720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 88422 + ... + 93701.

Almost surely, 2^480804720 is an apocalyptic number.

480804720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480804720 is an abundant number, since it is smaller than the sum of its proper divisors (1145198352).

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

480804720 is a wasteful number, since it uses less digits than its factorization.

480804720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182150 (or 182144 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 480804720 is about 21927.2597467171. The cubic root of 480804720 is about 783.4108356495.

The spelling of 480804720 in words is "four hundred eighty million, eight hundred four thousand, seven hundred twenty".