390507 has 32 divisors (see below), whose sum is σ = 645120. Its totient is φ = 207360.

The previous prime is 390503. The next prime is 390527. The reversal of 390507 is 705093.

It is not a de Polignac number, because 390507 - 2² = 390503 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390507.

It is not an unprimeable number, because it can be changed into a prime (390503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12582 + ... + 12612.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁹⁰⁵⁰⁷ is an apocalyptic number.

390507 is a deficient number, since it is larger than the sum of its proper divisors (254613).

390507 is a wasteful number, since it uses less digits than its factorization.

390507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 390507 is about 624.9055928698. The cubic root of 390507 is about 73.0930819867.

The spelling of 390507 in words is "three hundred ninety thousand, five hundred seven".