393719072 has 48 divisors (see below), whose sum is σ = 799356600. Its totient is φ = 190752768.

The previous prime is 393718999. The next prime is 393719077. The reversal of 393719072 is 270917393.

It can be written as a sum of positive squares in 4 ways, for example, as 378069136 + 15649936 = 19444^2 + 3956^2 .

It is not an unprimeable number, because it can be changed into a prime (393719077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374804 + ... + 375852.

Almost surely, 2^393719072 is an apocalyptic number.

393719072 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 393719072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399678300).

393719072 is an abundant number, since it is smaller than the sum of its proper divisors (405637528).

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

393719072 is a wasteful number, since it uses less digits than its factorization.

393719072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 41.

The square root of 393719072 is about 19842.3555053325. The cubic root of 393719072 is about 732.9294135583.

The spelling of 393719072 in words is "three hundred ninety-three million, seven hundred nineteen thousand, seventy-two".