390904290 has 288 divisors, whose sum is σ = 1310325120. Its totient is φ = 78962688.

The previous prime is 390904289. The next prime is 390904301. The reversal of 390904290 is 92409093.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3459274 + ... + 3459386.

It is an arithmetic number, because the mean of its divisors is an integer number (4549740).

Almost surely, 2^390904290 is an apocalyptic number.

390904290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 390904290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655162560).

390904290 is an abundant number, since it is smaller than the sum of its proper divisors (919420830).

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

390904290 is a wasteful number, since it uses less digits than its factorization.

390904290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 390904290 is about 19771.2996537911. The cubic root of 390904290 is about 731.1786114837.

The spelling of 390904290 in words is "three hundred ninety million, nine hundred four thousand, two hundred ninety".