395090416900 has 72 divisors (see below), whose sum is σ = 863841446720. Its totient is φ = 156839760000.

The previous prime is 395090416859. The next prime is 395090416913. The reversal of 395090416900 is 9614090593.

It is a super-2 number, since 2×395090416900² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64228825 + ... + 64234975.

Almost surely, 2^395090416900 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 395090416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431920723360).

395090416900 is an abundant number, since it is smaller than the sum of its proper divisors (468751029820).

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

395090416900 is a wasteful number, since it uses less digits than its factorization.

395090416900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10925 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 395090416900 in words is "three hundred ninety-five billion, ninety million, four hundred sixteen thousand, nine hundred".