390285 has 48 divisors (see below), whose sum is σ = 820800. Its totient is φ = 175392.

The previous prime is 390281. The next prime is 390289. The reversal of 390285 is 582093.

It is an interprime number because it is at equal distance from previous prime (390281) and next prime (390289).

It is not a de Polignac number, because 390285 - 2² = 390281 is a prime.

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 (390281) 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 47 ways as a sum of consecutive naturals, for example, 6586 + ... + 6644.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2³⁹⁰²⁸⁵ is an apocalyptic number.

390285 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

390285 is an abundant number, since it is smaller than the sum of its proper divisors (430515).

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

390285 is a wasteful number, since it uses less digits than its factorization.

390285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

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

The square root of 390285 is about 624.7279407870. The cubic root of 390285 is about 73.0792284236.

The spelling of 390285 in words is "three hundred ninety thousand, two hundred eighty-five".