393131664 has 160 divisors (see below), whose sum is σ = 1205280000. Its totient is φ = 122259456.

The previous prime is 393131639. The next prime is 393131707. The reversal of 393131664 is 466131393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461322 + ... + 1461590.

It is an arithmetic number, because the mean of its divisors is an integer number (7533000).

Almost surely, 2^393131664 is an apocalyptic number.

393131664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602640000).

393131664 is an abundant number, since it is smaller than the sum of its proper divisors (812148336).

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

393131664 is a wasteful number, since it uses less digits than its factorization.

393131664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 393131664 is about 19827.5481086291. The cubic root of 393131664 is about 732.5647348505.

The spelling of 393131664 in words is "three hundred ninety-three million, one hundred thirty-one thousand, six hundred sixty-four".