395148564 has 48 divisors (see below), whose sum is σ = 1026504640. Its totient is φ = 131453280.

The previous prime is 395148563. The next prime is 395148569. The reversal of 395148564 is 465841593.

395148564 is a `hidden beast` number, since 39 + 51 + 4 + 8 + 564 = 666.

It is a super-2 number, since 2×395148564² = 312284775262524192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395148563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55047 + ... + 61809.

Almost surely, 2^395148564 is an apocalyptic number.

It is an amenable number.

395148564 is an abundant number, since it is smaller than the sum of its proper divisors (631356076).

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

395148564 is a wasteful number, since it uses less digits than its factorization.

395148564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317 (or 7309 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 395148564 is about 19878.3440960257. The cubic root of 395148564 is about 733.8153678364.

The spelling of 395148564 in words is "three hundred ninety-five million, one hundred forty-eight thousand, five hundred sixty-four".