393775872 has 144 divisors (see below), whose sum is σ = 1212664320. Its totient is φ = 111108096.

The previous prime is 393775843. The next prime is 393775903. The reversal of 393775872 is 278577393.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478053 + ... + 478875.

It is an arithmetic number, because the mean of its divisors is an integer number (8421280).

Almost surely, 2^393775872 is an apocalyptic number.

393775872 is a gapful number since it is divisible by the number (32) 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 393775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606332160).

393775872 is an abundant number, since it is smaller than the sum of its proper divisors (818888448).

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

393775872 is an equidigital number, since it uses as much as digits as its factorization.

393775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 393775872 is about 19843.7867353991. The cubic root of 393775872 is about 732.9646572907.

The spelling of 393775872 in words is "three hundred ninety-three million, seven hundred seventy-five thousand, eight hundred seventy-two".