390288 has 40 divisors (see below), whose sum is σ = 1035648. Its totient is φ = 126592.

The previous prime is 390281. The next prime is 390289. The reversal of 390288 is 882093.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390288.

It is not an unprimeable number, because it can be changed into a prime (390281) by changing a digit.

390288 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 7 ways as a sum of consecutive naturals, for example, 2170 + ... + 2342.

2³⁹⁰²⁸⁸ 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 390288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824).

390288 is an abundant number, since it is smaller than the sum of its proper divisors (645360).

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

390288 is a wasteful number, since it uses less digits than its factorization.

390288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 390288 is about 624.7303418276. The cubic root of 390288 is about 73.0794156689.

The spelling of 390288 in words is "three hundred ninety thousand, two hundred eighty-eight".