395015625 has 63 divisors (see below), whose sum is σ = 726924289. Its totient is φ = 206700000.

The previous prime is 395015623. The next prime is 395015627. The reversal of 395015625 is 526510593.

The square root of 395015625 is 19875.

It is a perfect power (a square), and thus also a powerful number.

395015625 is a `hidden beast` number, since 3 + 95 + 0 + 1 + 562 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (395015623) and next prime (395015627).

It can be written as a sum of positive squares in 10 ways, for example, as 379899081 + 15116544 = 19491^2 + 3888^2 .

It is not a de Polignac number, because 395015625 - 2¹ = 395015623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 395015625.

It is not an unprimeable number, because it can be changed into a prime (395015623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7453099 + ... + 7453151.

Almost surely, 2^395015625 is an apocalyptic number.

395015625 is the 19875-th square number.

395015625 is the 9938-th centered octagonal number.

It is an amenable number.

395015625 is a deficient number, since it is larger than the sum of its proper divisors (331908664).

395015625 is an frugal number, since it uses more digits than its factorization.

395015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The cubic root of 395015625 is about 733.7330666195.

Multiplying 395015625 by its sum of digits (36), we get a square (14220562500 = 119250²).

The spelling of 395015625 in words is "three hundred ninety-five million, fifteen thousand, six hundred twenty-five".