481920 has 64 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 128000.

The previous prime is 481909. The next prime is 481939. The reversal of 481920 is 29184.

481920 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481920.

It is an unprimeable number.

481920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1795 + ... + 2045.

2⁴⁸¹⁹²⁰ is an apocalyptic number.

481920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

481920 is an abundant number, since it is smaller than the sum of its proper divisors (1060320).

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

481920 is a wasteful number, since it uses less digits than its factorization.

481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 481920 is about 694.2045807973. The cubic root of 481920 is about 78.4016104070.

The spelling of 481920 in words is "four hundred eighty-one thousand, nine hundred twenty".