390480804 has 192 divisors, whose sum is σ = 1204224000. Its totient is φ = 109353888.

The previous prime is 390480793. The next prime is 390480817. The reversal of 390480804 is 408084093.

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

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 63 ways as a sum of consecutive naturals, for example, 3074589 + ... + 3074715.

It is an arithmetic number, because the mean of its divisors is an integer number (6272000).

Almost surely, 2^390480804 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 390480804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602112000).

390480804 is an abundant number, since it is smaller than the sum of its proper divisors (813743196).

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

390480804 is a wasteful number, since it uses less digits than its factorization.

390480804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 390480804 is about 19760.5871370261. The cubic root of 390480804 is about 730.9144753952.

The spelling of 390480804 in words is "three hundred ninety million, four hundred eighty thousand, eight hundred four".