393713440 has 96 divisors (see below), whose sum is σ = 994230720. Its totient is φ = 146893824.

The previous prime is 393713417. The next prime is 393713443. The reversal of 393713440 is 44317393.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 393713396 and 393713405.

It is not an unprimeable number, because it can be changed into a prime (393713443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202714 + ... + 204646.

It is an arithmetic number, because the mean of its divisors is an integer number (10356570).

Almost surely, 2^393713440 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 393713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497115360).

393713440 is an abundant number, since it is smaller than the sum of its proper divisors (600517280).

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

393713440 is a wasteful number, since it uses less digits than its factorization.

393713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 393713440 is about 19842.2135861904. The cubic root of 393713440 is about 732.9259187838.

The spelling of 393713440 in words is "three hundred ninety-three million, seven hundred thirteen thousand, four hundred forty".