390744 has 56 divisors (see below), whose sum is σ = 1114860. Its totient is φ = 128304.

The previous prime is 390743. The next prime is 390751. The reversal of 390744 is 447093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5799 + ... + 5865.

2³⁹⁰⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557430).

390744 is an abundant number, since it is smaller than the sum of its proper divisors (724116).

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

390744 is an equidigital number, since it uses as much as digits as its factorization.

390744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 390744 is about 625.0951927507. The cubic root of 390744 is about 73.1078658080.

The spelling of 390744 in words is "three hundred ninety thousand, seven hundred forty-four".