393268920 has 64 divisors (see below), whose sum is σ = 1287066240. Its totient is φ = 95337600.

The previous prime is 393268919. The next prime is 393268921. The reversal of 393268920 is 29862393.

It is an interprime number because it is at equal distance from previous prime (393268919) and next prime (393268921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393268921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147646 + ... + 150285.

It is an arithmetic number, because the mean of its divisors is an integer number (20110410).

Almost surely, 2^393268920 is an apocalyptic number.

393268920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393268920 is an abundant number, since it is smaller than the sum of its proper divisors (893797320).

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

393268920 is a wasteful number, since it uses less digits than its factorization.

393268920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297956 (or 297952 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 393268920 is about 19831.0090514830. The cubic root of 393268920 is about 732.6499795789.

The spelling of 393268920 in words is "three hundred ninety-three million, two hundred sixty-eight thousand, nine hundred twenty".