390506800 has 60 divisors (see below), whose sum is σ = 941011200. Its totient is φ = 155733760.

The previous prime is 390506797. The next prime is 390506803. The reversal of 390506800 is 8605093.

It is an interprime number because it is at equal distance from previous prime (390506797) and next prime (390506803).

It is not an unprimeable number, because it can be changed into a prime (390506803) 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 11 ways as a sum of consecutive naturals, for example, 151926 + ... + 154474.

It is an arithmetic number, because the mean of its divisors is an integer number (15683520).

Almost surely, 2^390506800 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 390506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470505600).

390506800 is an abundant number, since it is smaller than the sum of its proper divisors (550504400).

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

390506800 is a wasteful number, since it uses less digits than its factorization.

390506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 390506800 is about 19761.2449000563. The cubic root of 390506800 is about 730.9306950838.

The spelling of 390506800 in words is "three hundred ninety million, five hundred six thousand, eight hundred".