393949520 has 80 divisors (see below), whose sum is σ = 960688512. Its totient is φ = 149952000.

The previous prime is 393949513. The next prime is 393949547. The reversal of 393949520 is 25949393.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 461414 + ... + 462266.

Almost surely, 2^393949520 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 393949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480344256).

393949520 is an abundant number, since it is smaller than the sum of its proper divisors (566738992).

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

393949520 is a wasteful number, since it uses less digits than its factorization.

393949520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 44.

The square root of 393949520 is about 19848.1616277176. The cubic root of 393949520 is about 733.0723828197.

The spelling of 393949520 in words is "three hundred ninety-three million, nine hundred forty-nine thousand, five hundred twenty".