390434800 has 240 divisors, whose sum is σ = 1162425600. Its totient is φ = 123033600.

The previous prime is 390434777. The next prime is 390434813. The reversal of 390434800 is 8434093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181111 + ... + 2181289.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^390434800 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 390434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581212800).

390434800 is an abundant number, since it is smaller than the sum of its proper divisors (771990800).

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

390434800 is a wasteful number, since it uses less digits than its factorization.

390434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 390434800 is about 19759.4230685008. The cubic root of 390434800 is about 730.8857703477.

Adding to 390434800 its reverse (8434093), we get a palindrome (398868893).

The spelling of 390434800 in words is "three hundred ninety million, four hundred thirty-four thousand, eight hundred".