390753 has 12 divisors (see below), whose sum is σ = 615888. Its totient is φ = 236760.

The previous prime is 390751. The next prime is 390763. The reversal of 390753 is 357093.

It is not a de Polignac number, because 390753 - 2¹ = 390751 is a prime.

It is a super-3 number, since 3×390753³ = 178989773182463331, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (390751) 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 11 ways as a sum of consecutive naturals, for example, 1875 + ... + 2072.

It is an arithmetic number, because the mean of its divisors is an integer number (51324).

2³⁹⁰⁷⁵³ is an apocalyptic number.

390753 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

390753 is a deficient number, since it is larger than the sum of its proper divisors (225135).

390753 is a wasteful number, since it uses less digits than its factorization.

390753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3961 counting only the distinct ones).

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

The square root of 390753 is about 625.1023916128. The cubic root of 390753 is about 73.1084271011.

The spelling of 390753 in words is "three hundred ninety thousand, seven hundred fifty-three".