390520800 has 216 divisors, whose sum is σ = 1397816784. Its totient is φ = 102574080.

The previous prime is 390520769. The next prime is 390520807. The reversal of 390520800 is 8025093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390520807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525229 + ... + 525971.

It is an arithmetic number, because the mean of its divisors is an integer number (6471374).

Almost surely, 2^390520800 is an apocalyptic number.

390520800 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 390520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698908392).

390520800 is an abundant number, since it is smaller than the sum of its proper divisors (1007295984).

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

390520800 is a wasteful number, since it uses less digits than its factorization.

390520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390520800 is about 19761.5991255769. The cubic root of 390520800 is about 730.9394298078.

Adding to 390520800 its reverse (8025093), we get a palindrome (398545893).

The spelling of 390520800 in words is "three hundred ninety million, five hundred twenty thousand, eight hundred".