393139200 has 132 divisors (see below), whose sum is σ = 1299599360. Its totient is φ = 104816640.

The previous prime is 393139199. The next prime is 393139217. The reversal of 393139200 is 2931393.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74241 + ... + 79359.

Almost surely, 2^393139200 is an apocalyptic number.

393139200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649799680).

393139200 is an abundant number, since it is smaller than the sum of its proper divisors (906460160).

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

393139200 is a wasteful number, since it uses less digits than its factorization.

393139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 393139200 is about 19827.7381463444. The cubic root of 393139200 is about 732.5694157018.

393139200 divided by its sum of digits (30) gives a triangular number (13104640 = T₅₁₁₉).

The spelling of 393139200 in words is "three hundred ninety-three million, one hundred thirty-nine thousand, two hundred".