395612800 has 96 divisors (see below), whose sum is σ = 1066226400. Its totient is φ = 143846400.

The previous prime is 395612741. The next prime is 395612821. The reversal of 395612800 is 8216593.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29581 + ... + 40819.

It is an arithmetic number, because the mean of its divisors is an integer number (11106525).

Almost surely, 2^395612800 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 395612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533113200).

395612800 is an abundant number, since it is smaller than the sum of its proper divisors (670613600).

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

395612800 is a wasteful number, since it uses less digits than its factorization.

395612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 395612800 is about 19890.0175967745. The cubic root of 395612800 is about 734.1026270438.

The spelling of 395612800 in words is "three hundred ninety-five million, six hundred twelve thousand, eight hundred".