390807 has 12 divisors (see below), whose sum is σ = 570024. Its totient is φ = 258000.

The previous prime is 390791. The next prime is 390809. The reversal of 390807 is 708093.

It is a happy number.

It is not a de Polignac number, because 390807 - 2⁴ = 390791 is a prime.

It is a super-2 number, since 2×390807² = 305460222498, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390807.

It is not an unprimeable number, because it can be changed into a prime (390809) 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 11 ways as a sum of consecutive naturals, for example, 1432 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (47502).

2³⁹⁰⁸⁰⁷ is an apocalyptic number.

390807 is a deficient number, since it is larger than the sum of its proper divisors (179217).

390807 is a wasteful number, since it uses less digits than its factorization.

390807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 390807 is about 625.1455830445. The cubic root of 390807 is about 73.1117946788. Note that the first 3 decimals are identical.

The spelling of 390807 in words is "three hundred ninety thousand, eight hundred seven".