393719808 has 78 divisors (see below), whose sum is σ = 1055688844. Its totient is φ = 130506752.

The previous prime is 393719797. The next prime is 393719857. The reversal of 393719808 is 808917393.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 5 ways as a sum of consecutive naturals, for example, 2199463 + ... + 2199641.

Almost surely, 2^393719808 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 393719808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527844422).

393719808 is an abundant number, since it is smaller than the sum of its proper divisors (661969036).

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

393719808 is an frugal number, since it uses more digits than its factorization.

393719808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 393719808 is about 19842.3740515091. The cubic root of 393719808 is about 732.9298702593.

Multiplying 393719808 by its sum of digits (48), we get a square (18898550784 = 137472²).

393719808 divided by its sum of digits (48) gives a square (8202496 = 2864²).

The spelling of 393719808 in words is "three hundred ninety-three million, seven hundred nineteen thousand, eight hundred eight".