480720 has 40 divisors (see below), whose sum is σ = 1490976. Its totient is φ = 128128.

The previous prime is 480713. The next prime is 480731. The reversal of 480720 is 27084.

It is a happy number.

480720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×480720³ = 333271232607744000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

480720 is a modest number, since divided by 720 gives 480 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762 + ... + 1241.

2⁴⁸⁰⁷²⁰ is an apocalyptic number.

480720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480720 is an abundant number, since it is smaller than the sum of its proper divisors (1010256).

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

480720 is a wasteful number, since it uses less digits than its factorization.

480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 480720 is about 693.3397435601. The cubic root of 480720 is about 78.3364819417.

The spelling of 480720 in words is "four hundred eighty thousand, seven hundred twenty".