390364800 has 384 divisors, whose sum is σ = 1518771840. Its totient is φ = 86261760.

The previous prime is 390364781. The next prime is 390364801. The reversal of 390364800 is 8463093.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390364801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2486322 + ... + 2486478.

It is an arithmetic number, because the mean of its divisors is an integer number (3955135).

Almost surely, 2^390364800 is an apocalyptic number.

390364800 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 390364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759385920).

390364800 is an abundant number, since it is smaller than the sum of its proper divisors (1128407040).

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

390364800 is a wasteful number, since it uses less digits than its factorization.

390364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 390364800 is about 19757.6516823230. The cubic root of 390364800 is about 730.8420882256.

The spelling of 390364800 in words is "three hundred ninety million, three hundred sixty-four thousand, eight hundred".