390735 has 24 divisors (see below), whose sum is σ = 714480. Its totient is φ = 196992.

The previous prime is 390727. The next prime is 390737. The reversal of 390735 is 537093.

It is not a de Polignac number, because 390735 - 2³ = 390727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 390699 and 390708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390737) 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 23 ways as a sum of consecutive naturals, for example, 627 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (29770).

2³⁹⁰⁷³⁵ is an apocalyptic number.

390735 is a deficient number, since it is larger than the sum of its proper divisors (323745).

390735 is a wasteful number, since it uses less digits than its factorization.

390735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 390735 is about 625.0879938057. The cubic root of 390735 is about 73.1073045063.

The spelling of 390735 in words is "three hundred ninety thousand, seven hundred thirty-five".