393714080 has 96 divisors (see below), whose sum is σ = 955281600. Its totient is φ = 153290752.

The previous prime is 393714073. The next prime is 393714107. The reversal of 393714080 is 80417393.

It is a self number, because there is not a number n which added to its sum of digits gives 393714080.

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, 1689644 + ... + 1689876.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2^393714080 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 393714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477640800).

393714080 is an abundant number, since it is smaller than the sum of its proper divisors (561567520).

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

393714080 is a wasteful number, since it uses less digits than its factorization.

393714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 393714080 is about 19842.2297134168. The cubic root of 393714080 is about 732.9263159189.

The spelling of 393714080 in words is "three hundred ninety-three million, seven hundred fourteen thousand, eighty".