390245856 has 384 divisors, whose sum is σ = 1430618112. Its totient is φ = 89856000.

The previous prime is 390245819. The next prime is 390245861. The reversal of 390245856 is 658542093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2978911 + ... + 2979041.

It is an arithmetic number, because the mean of its divisors is an integer number (3725568).

Almost surely, 2^390245856 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 390245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715309056).

390245856 is an abundant number, since it is smaller than the sum of its proper divisors (1040372256).

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

390245856 is a wasteful number, since it uses less digits than its factorization.

390245856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 390245856 is about 19754.6413786735. The cubic root of 390245856 is about 730.7678515869.

The spelling of 390245856 in words is "three hundred ninety million, two hundred forty-five thousand, eight hundred fifty-six".