390988416 has 256 divisors, whose sum is σ = 1305077760. Its totient is φ = 100970496.

The previous prime is 390988369. The next prime is 390988421. The reversal of 390988416 is 614889093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2341165 + ... + 2341331.

It is an arithmetic number, because the mean of its divisors is an integer number (5097960).

Almost surely, 2^390988416 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 390988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652538880).

390988416 is an abundant number, since it is smaller than the sum of its proper divisors (914089344).

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

390988416 is a wasteful number, since it uses less digits than its factorization.

390988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 390988416 is about 19773.4270170853. The cubic root of 390988416 is about 731.2310597184.

The spelling of 390988416 in words is "three hundred ninety million, nine hundred eighty-eight thousand, four hundred sixteen".