395350800 has 120 divisors (see below), whose sum is σ = 1363912704. Its totient is φ = 97313280.

The previous prime is 395350777. The next prime is 395350801. The reversal of 395350800 is 8053593.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (395350801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2929 + ... + 28271.

Almost surely, 2^395350800 is an apocalyptic number.

395350800 is a gapful number since it is divisible by the number (30) 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 395350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681956352).

395350800 is an abundant number, since it is smaller than the sum of its proper divisors (968561904).

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

395350800 is a wasteful number, since it uses less digits than its factorization.

395350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25377 (or 25366 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 395350800 is about 19883.4302875535. The cubic root of 395350800 is about 733.9405347465.

The spelling of 395350800 in words is "three hundred ninety-five million, three hundred fifty thousand, eight hundred".