390905856 has 180 divisors, whose sum is σ = 1237019784. Its totient is φ = 117964800.

The previous prime is 390905833. The next prime is 390905869. The reversal of 390905856 is 658509093.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621896 + ... + 1622136.

Almost surely, 2^390905856 is an apocalyptic number.

390905856 is a gapful number since it is divisible by the number (36) 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 390905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618509892).

390905856 is an abundant number, since it is smaller than the sum of its proper divisors (846113928).

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

390905856 is a wasteful number, since it uses less digits than its factorization.

390905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 390905856 is about 19771.3392566108. The cubic root of 390905856 is about 731.1795878729.

The spelling of 390905856 in words is "three hundred ninety million, nine hundred five thousand, eight hundred fifty-six".