480920 has 32 divisors (see below), whose sum is σ = 1181520. Its totient is φ = 174720.

The previous prime is 480919. The next prime is 480929. The reversal of 480920 is 29084.

It is a super-3 number, since 3×480920³ = 333687370784064000, which contains 333 as substring.

It is a nialpdrome in base 15.

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 480920.

It is not an unprimeable number, because it can be changed into a prime (480929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107 + ... + 986.

2⁴⁸⁰⁹²⁰ is an apocalyptic number.

480920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480920 is an abundant number, since it is smaller than the sum of its proper divisors (700600).

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

480920 is a wasteful number, since it uses less digits than its factorization.

480920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 480920 is about 693.4839579976. The cubic root of 480920 is about 78.3473442068.

The spelling of 480920 in words is "four hundred eighty thousand, nine hundred twenty".