393428825 has 12 divisors (see below), whose sum is σ = 499751868. Its totient is φ = 307065600.

The previous prime is 393428729. The next prime is 393428863. The reversal of 393428825 is 528824393.

It can be written as a sum of positive squares in 6 ways, for example, as 166384201 + 227044624 = 12899^2 + 15068^2 .

It is not a de Polignac number, because 393428825 - 2¹⁸ = 393166681 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190892 + ... + 192941.

It is an arithmetic number, because the mean of its divisors is an integer number (41645989).

Almost surely, 2^393428825 is an apocalyptic number.

It is an amenable number.

393428825 is a deficient number, since it is larger than the sum of its proper divisors (106323043).

393428825 is a wasteful number, since it uses less digits than its factorization.

393428825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383884 (or 383879 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 393428825 is about 19835.0403327041. The cubic root of 393428825 is about 732.7492657706.

The spelling of 393428825 in words is "three hundred ninety-three million, four hundred twenty-eight thousand, eight hundred twenty-five".