395744800 has 72 divisors (see below), whose sum is σ = 1053963792. Its totient is φ = 143904000.

The previous prime is 395744731. The next prime is 395744809. The reversal of 395744800 is 8447593.

It is a super-2 number, since 2×395744800² = 313227893454080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (395744809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13686 + ... + 31285.

It is an arithmetic number, because the mean of its divisors is an integer number (14638386).

Almost surely, 2^395744800 is an apocalyptic number.

It is an amenable number.

395744800 is an abundant number, since it is smaller than the sum of its proper divisors (658218992).

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

395744800 is a wasteful number, since it uses less digits than its factorization.

395744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45002 (or 44989 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 395744800 is about 19893.3355674708. The cubic root of 395744800 is about 734.1842647557.

The spelling of 395744800 in words is "three hundred ninety-five million, seven hundred forty-four thousand, eight hundred".