393431125 has 32 divisors (see below), whose sum is σ = 505709568. Its totient is φ = 305440000.

The previous prime is 393431117. The next prime is 393431147. The reversal of 393431125 is 521134393.

It is not a de Polignac number, because 393431125 - 2³ = 393431117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980925 + ... + 981325.

It is an arithmetic number, because the mean of its divisors is an integer number (15803424).

Almost surely, 2^393431125 is an apocalyptic number.

It is an amenable number.

393431125 is a deficient number, since it is larger than the sum of its proper divisors (112278443).

393431125 is a wasteful number, since it uses less digits than its factorization.

393431125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The square root of 393431125 is about 19835.0983108227. The cubic root of 393431125 is about 732.7506936612.

The spelling of 393431125 in words is "three hundred ninety-three million, four hundred thirty-one thousand, one hundred twenty-five".