390528 has 64 divisors (see below), whose sum is σ = 1162800. Its totient is φ = 129024.

The previous prime is 390527. The next prime is 390539. The reversal of 390528 is 825093.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3400 + ... + 3512.

2³⁹⁰⁵²⁸ 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 390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581400).

390528 is an abundant number, since it is smaller than the sum of its proper divisors (772272).

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

390528 is a wasteful number, since it uses less digits than its factorization.

390528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390528 is about 624.9223951820. The cubic root of 390528 is about 73.0943921870.

It can be divided in two parts, 39052 and 8, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 390528 in words is "three hundred ninety thousand, five hundred twenty-eight".