395120320 has 168 divisors, whose sum is σ = 1109130624. Its totient is φ = 133668864.

The previous prime is 395120309. The next prime is 395120351. The reversal of 395120320 is 23021593.

It is a happy number.

It is a super-2 number, since 2×395120320² = 312240134553804800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771729 + ... + 1771951.

It is an arithmetic number, because the mean of its divisors is an integer number (6601968).

Almost surely, 2^395120320 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 395120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554565312).

395120320 is an abundant number, since it is smaller than the sum of its proper divisors (714010304).

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

395120320 is a wasteful number, since it uses less digits than its factorization.

395120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 395120320 is about 19877.6336619830. The cubic root of 395120320 is about 733.7978838005.

The spelling of 395120320 in words is "three hundred ninety-five million, one hundred twenty thousand, three hundred twenty".