390141296 has 40 divisors (see below), whose sum is σ = 805086864. Its totient is φ = 182512640.

The previous prime is 390141289. The next prime is 390141317. The reversal of 390141296 is 692141093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42911 + ... + 51201.

Almost surely, 2^390141296 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 390141296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402543432).

390141296 is an abundant number, since it is smaller than the sum of its proper divisors (414945568).

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

390141296 is a wasteful number, since it uses less digits than its factorization.

390141296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8489 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 390141296 is about 19751.9947347097. The cubic root of 390141296 is about 730.7025799890.

The spelling of 390141296 in words is "three hundred ninety million, one hundred forty-one thousand, two hundred ninety-six".