393266960 has 20 divisors (see below), whose sum is σ = 914345868. Its totient is φ = 157306752.

The previous prime is 393266911. The next prime is 393266981. The reversal of 393266960 is 69662393.

It can be written as a sum of positive squares in 2 ways, for example, as 60715264 + 332551696 = 7792^2 + 18236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2457839 + ... + 2457998.

Almost surely, 2^393266960 is an apocalyptic number.

It is an amenable number.

393266960 is an abundant number, since it is smaller than the sum of its proper divisors (521078908).

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

393266960 is a wasteful number, since it uses less digits than its factorization.

393266960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915850 (or 4915844 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 44.

The square root of 393266960 is about 19830.9596338654. The cubic root of 393266960 is about 732.6487624335.

The spelling of 393266960 in words is "three hundred ninety-three million, two hundred sixty-six thousand, nine hundred sixty".