480120 has 32 divisors (see below), whose sum is σ = 1440720. Its totient is φ = 128000.

The previous prime is 480113. The next prime is 480133. The reversal of 480120 is 21084.

480120 = T₁₂₃ + T₁₂₄ + ... + T₁₆₇.

480120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 480120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1881 + ... + 2120.

2⁴⁸⁰¹²⁰ is an apocalyptic number.

480120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480120 is an abundant number, since it is smaller than the sum of its proper divisors (960600).

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

480120 is a wasteful number, since it uses less digits than its factorization.

480120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 480120 is about 692.9069201559. The cubic root of 480120 is about 78.3038770591.

It can be divided in two parts, 480 and 120, that multiplied together give a square (57600 = 240²).

The spelling of 480120 in words is "four hundred eighty thousand, one hundred twenty".