390240 has 72 divisors (see below), whose sum is σ = 1336608. Its totient is φ = 103680.

The previous prime is 390223. The next prime is 390263. The reversal of 390240 is 42093.

390240 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2³⁹⁰²⁴⁰ is an apocalyptic number.

390240 is a gapful number since it is divisible by the number (30) 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 390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304).

390240 is an abundant number, since it is smaller than the sum of its proper divisors (946368).

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

390240 is a wasteful number, since it uses less digits than its factorization.

390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 390240 is about 624.6919240714. The cubic root of 390240 is about 73.0764196286.

It can be divided in two parts, 390 and 240, that added together give a triangular number (630 = T₃₅).

The spelling of 390240 in words is "three hundred ninety thousand, two hundred forty".