393137268 has 12 divisors (see below), whose sum is σ = 917320320. Its totient is φ = 131045752.

The previous prime is 393137243. The next prime is 393137287. The reversal of 393137268 is 862731393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×393137268² = 309113822981007648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16380708 + ... + 16380731.

It is an arithmetic number, because the mean of its divisors is an integer number (76443360).

Almost surely, 2^393137268 is an apocalyptic number.

It is an amenable number.

393137268 is an abundant number, since it is smaller than the sum of its proper divisors (524183052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393137268 is a wasteful number, since it uses less digits than its factorization.

393137268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32761446 (or 32761444 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 393137268 is about 19827.6894266579. The cubic root of 393137268 is about 732.5682156803.

The spelling of 393137268 in words is "three hundred ninety-three million, one hundred thirty-seven thousand, two hundred sixty-eight".