390895120 has 320 divisors, whose sum is σ = 1234206720. Its totient is φ = 111513600.

The previous prime is 390895117. The next prime is 390895123. The reversal of 390895120 is 21598093.

It is an interprime number because it is at equal distance from previous prime (390895117) and next prime (390895123).

It is a self number, because there is not a number n which added to its sum of digits gives 390895120.

It is not an unprimeable number, because it can be changed into a prime (390895123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4392036 + ... + 4392124.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^390895120 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 390895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

390895120 is an abundant number, since it is smaller than the sum of its proper divisors (843311600).

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

390895120 is a wasteful number, since it uses less digits than its factorization.

390895120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 390895120 is about 19771.0677506300. The cubic root of 390895120 is about 731.1728940054.

The spelling of 390895120 in words is "three hundred ninety million, eight hundred ninety-five thousand, one hundred twenty".