395744544 has 72 divisors (see below), whose sum is σ = 1211979132. Its totient is φ = 121766400.

The previous prime is 395744533. The next prime is 395744549. The reversal of 395744544 is 445447593.

395744544 is a `hidden beast` number, since 39 + 5 + 74 + 4 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 343731600 + 52012944 = 18540^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×395744544² = 313227488211535872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 395744544.

It is not an unprimeable number, because it can be changed into a prime (395744549) 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, 49107 + ... + 56594.

Almost surely, 2^395744544 is an apocalyptic number.

It is an amenable number.

395744544 is an abundant number, since it is smaller than the sum of its proper divisors (816234588).

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

395744544 is a wasteful number, since it uses less digits than its factorization.

395744544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105730 (or 105719 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 395744544 is about 19893.3291331542. The cubic root of 395744544 is about 734.1841064456.

The spelling of 395744544 in words is "three hundred ninety-five million, seven hundred forty-four thousand, five hundred forty-four".