390916400 has 120 divisors (see below), whose sum is σ = 1081701600. Its totient is φ = 132986880.

The previous prime is 390916399. The next prime is 390916403. The reversal of 390916400 is 4619093.

It is not an unprimeable number, because it can be changed into a prime (390916403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416732 + ... + 417668.

It is an arithmetic number, because the mean of its divisors is an integer number (9014180).

Almost surely, 2^390916400 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 390916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540850800).

390916400 is an abundant number, since it is smaller than the sum of its proper divisors (690785200).

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

390916400 is a wasteful number, since it uses less digits than its factorization.

390916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 390916400 is about 19771.6059034161. The cubic root of 390916400 is about 731.1861619095.

The spelling of 390916400 in words is "three hundred ninety million, nine hundred sixteen thousand, four hundred".