393267672 has 96 divisors (see below), whose sum is σ = 1250215200. Its totient is φ = 109320192.

The previous prime is 393267631. The next prime is 393267683. The reversal of 393267672 is 276762393.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8104 + ... + 29192.

It is an arithmetic number, because the mean of its divisors is an integer number (13023075).

Almost surely, 2^393267672 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 393267672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625107600).

393267672 is an abundant number, since it is smaller than the sum of its proper divisors (856947528).

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

393267672 is a wasteful number, since it uses less digits than its factorization.

393267672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21145 (or 21138 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 393267672 is about 19830.9775855856. The cubic root of 393267672 is about 732.6492045807.

The spelling of 393267672 in words is "three hundred ninety-three million, two hundred sixty-seven thousand, six hundred seventy-two".