390521880 has 192 divisors, whose sum is σ = 1497600000. Its totient is φ = 86365440.

The previous prime is 390521867. The next prime is 390521893. The reversal of 390521880 is 88125093.

It is an interprime number because it is at equal distance from previous prime (390521867) and next prime (390521893).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 75621 + ... + 80619.

It is an arithmetic number, because the mean of its divisors is an integer number (7800000).

Almost surely, 2^390521880 is an apocalyptic number.

390521880 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 390521880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748800000).

390521880 is an abundant number, since it is smaller than the sum of its proper divisors (1107078120).

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

390521880 is a wasteful number, since it uses less digits than its factorization.

390521880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 390521880 is about 19761.6264512818. The cubic root of 390521880 is about 730.9401036207.

The spelling of 390521880 in words is "three hundred ninety million, five hundred twenty-one thousand, eight hundred eighty".