390432 has 72 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 110208.

The previous prime is 390421. The next prime is 390433. The reversal of 390432 is 234093.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 390399 and 390408.

It is not an unprimeable number, because it can be changed into a prime (390433) by changing a digit.

390432 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 11 ways as a sum of consecutive naturals, for example, 4663 + ... + 4745.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2³⁹⁰⁴³² is an apocalyptic number.

390432 is a gapful number since it is divisible by the number (32) 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 390432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

390432 is an abundant number, since it is smaller than the sum of its proper divisors (816144).

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

390432 is a wasteful number, since it uses less digits than its factorization.

390432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 390432 is about 624.8455809238. The cubic root of 390432 is about 73.0884023163.

The spelling of 390432 in words is "three hundred ninety thousand, four hundred thirty-two".