390480 has 40 divisors (see below), whose sum is σ = 1211232. Its totient is φ = 104064.

The previous prime is 390479. The next prime is 390487. The reversal of 390480 is 84093.

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

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 390480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390487) 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, 574 + ... + 1053.

2³⁹⁰⁴⁸⁰ is an apocalyptic number.

390480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390480 is an abundant number, since it is smaller than the sum of its proper divisors (820752).

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

390480 is a wasteful number, since it uses less digits than its factorization.

390480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 390480 is about 624.8839892332. The cubic root of 390480 is about 73.0913973744.

The spelling of 390480 in words is "three hundred ninety thousand, four hundred eighty".