390912 has 36 divisors (see below), whose sum is σ = 1042440. Its totient is φ = 130048.

The previous prime is 390893. The next prime is 390953. The reversal of 390912 is 219093.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

390912 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 3 ways as a sum of consecutive naturals, for example, 514 + ... + 1022.

2³⁹⁰⁹¹² is an apocalyptic number.

390912 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 390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521220).

390912 is an abundant number, since it is smaller than the sum of its proper divisors (651528).

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

390912 is an equidigital number, since it uses as much as digits as its factorization.

390912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 390912 is about 625.2295578426. The cubic root of 390912 is about 73.1183418585.

It can be divided in two parts, 39091 and 2, that added together give a palindrome (39093).

The spelling of 390912 in words is "three hundred ninety thousand, nine hundred twelve".