393990800 has 120 divisors (see below), whose sum is σ = 1111315776. Its totient is φ = 131397120.

The previous prime is 393990797. The next prime is 393990803. The reversal of 393990800 is 8099393.

It is an interprime number because it is at equal distance from previous prime (393990797) and next prime (393990803).

It is not an unprimeable number, because it can be changed into a prime (393990803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101699 + ... + 105501.

Almost surely, 2^393990800 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 393990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555657888).

393990800 is an abundant number, since it is smaller than the sum of its proper divisors (717324976).

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

393990800 is a wasteful number, since it uses less digits than its factorization.

393990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The square root of 393990800 is about 19849.2014952743. The cubic root of 393990800 is about 733.0979869217.

The spelling of 393990800 in words is "three hundred ninety-three million, nine hundred ninety thousand, eight hundred".