393479712 has 72 divisors (see below), whose sum is σ = 1121129100. Its totient is φ = 130905600.

The previous prime is 393479711. The next prime is 393479731. The reversal of 393479712 is 217974393.

It can be written as a sum of positive squares in 2 ways, for example, as 342842256 + 50637456 = 18516^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (393479711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200914 + ... + 202862.

Almost surely, 2^393479712 is an apocalyptic number.

393479712 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 393479712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560564550).

393479712 is an abundant number, since it is smaller than the sum of its proper divisors (727649388).

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

393479712 is a wasteful number, since it uses less digits than its factorization.

393479712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2655 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 393479712 is about 19836.3230463713. The cubic root of 393479712 is about 732.7808562405.

The spelling of 393479712 in words is "three hundred ninety-three million, four hundred seventy-nine thousand, seven hundred twelve".