393874520 has 64 divisors (see below), whose sum is σ = 987336000. Its totient is φ = 140410368.

The previous prime is 393874483. The next prime is 393874529. The reversal of 393874520 is 25478393.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393874529) 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, 2021 + ... + 28139.

It is an arithmetic number, because the mean of its divisors is an integer number (15427125).

Almost surely, 2^393874520 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 393874520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493668000).

393874520 is an abundant number, since it is smaller than the sum of its proper divisors (593461480).

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

393874520 is a wasteful number, since it uses less digits than its factorization.

393874520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26172 (or 26168 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 393874520 is about 19846.2721940419. The cubic root of 393874520 is about 733.0258591618.

The spelling of 393874520 in words is "three hundred ninety-three million, eight hundred seventy-four thousand, five hundred twenty".