395112816 has 200 divisors, whose sum is σ = 1323352800. Its totient is φ = 111476736.

The previous prime is 395112737. The next prime is 395112821. The reversal of 395112816 is 618211593.

It is a super-2 number, since 2×395112816² = 312228274734899712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879760 + ... + 880208.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764).

Almost surely, 2^395112816 is an apocalyptic number.

395112816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395112816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661676400).

395112816 is an abundant number, since it is smaller than the sum of its proper divisors (928239984).

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

395112816 is a wasteful number, since it uses less digits than its factorization.

395112816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 395112816 is about 19877.4449062247. Note that the first 3 decimals coincide. The cubic root of 395112816 is about 733.7932384187.

The spelling of 395112816 in words is "three hundred ninety-five million, one hundred twelve thousand, eight hundred sixteen".