395690144 has 48 divisors (see below), whose sum is σ = 793941120. Its totient is φ = 194088960.

The previous prime is 395690131. The next prime is 395690177. The reversal of 395690144 is 441096593.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487499 + ... + 488309.

It is an arithmetic number, because the mean of its divisors is an integer number (16540440).

Almost surely, 2^395690144 is an apocalyptic number.

It is an amenable number.

395690144 is an abundant number, since it is smaller than the sum of its proper divisors (398250976).

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

395690144 is a wasteful number, since it uses less digits than its factorization.

395690144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 395690144 is about 19891.9617936492. The cubic root of 395690144 is about 734.1504639977.

The spelling of 395690144 in words is "three hundred ninety-five million, six hundred ninety thousand, one hundred forty-four".