393314992 has 80 divisors (see below), whose sum is σ = 926940672. Its totient is φ = 157824000.

The previous prime is 393314983. The next prime is 393315049. The reversal of 393314992 is 299413393.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 477493 + ... + 478315.

Almost surely, 2^393314992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393314992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463470336).

393314992 is an abundant number, since it is smaller than the sum of its proper divisors (533625680).

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

393314992 is a wasteful number, since it uses less digits than its factorization.

393314992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its digits is 157464, while the sum is 43.

The square root of 393314992 is about 19832.1706325858. The cubic root of 393314992 is about 732.6785887825.

The spelling of 393314992 in words is "three hundred ninety-three million, three hundred fourteen thousand, nine hundred ninety-two".