390934200 has 96 divisors (see below), whose sum is σ = 1215279360. Its totient is φ = 103958400.

The previous prime is 390934163. The next prime is 390934207. The reversal of 390934200 is 2439093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390934207) 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, 293937 + ... + 295263.

It is an arithmetic number, because the mean of its divisors is an integer number (12659160).

Almost surely, 2^390934200 is an apocalyptic number.

390934200 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 390934200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607639680).

390934200 is an abundant number, since it is smaller than the sum of its proper divisors (824345160).

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

390934200 is a wasteful number, since it uses less digits than its factorization.

390934200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 390934200 is about 19772.0560387634. The cubic root of 390934200 is about 731.1972596925.

The spelling of 390934200 in words is "three hundred ninety million, nine hundred thirty-four thousand, two hundred".