390024 has 24 divisors (see below), whose sum is σ = 1056510. Its totient is φ = 129984.

The previous prime is 390001. The next prime is 390043. The reversal of 390024 is 420093.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 8100 = 618^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 389979 and 390006.

It is an unprimeable number.

390024 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 5 ways as a sum of consecutive naturals, for example, 2637 + ... + 2780.

2³⁹⁰⁰²⁴ is an apocalyptic number.

It is an amenable number.

390024 is an abundant number, since it is smaller than the sum of its proper divisors (666486).

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

390024 is a wasteful number, since it uses less digits than its factorization.

390024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5422 counting only the distinct ones).

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

The square root of 390024 is about 624.5190149227. The cubic root of 390024 is about 73.0629344060.

It can be divided in two parts, 3 and 90024, that multiplied together give a palindrome (270072).

The spelling of 390024 in words is "three hundred ninety thousand, twenty-four".