252905409 has 63 divisors (see below), whose sum is σ = 413517969. Its totient is φ = 154577160.

The previous prime is 252905363. The next prime is 252905417. The reversal of 252905409 is 904509252.

It is a happy number.

The square root of 252905409 is 15903.

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

252905409 is a `hidden beast` number, since 25 + 2 + 90 + 540 + 9 = 666.

It is not a de Polignac number, because 252905409 - 2⁷ = 252905281 is a prime.

It is a super-2 number, since 2×252905409² = 127922291802914562, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252905459) 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 62 ways as a sum of consecutive naturals, for example, 8158224 + ... + 8158254.

Almost surely, 2^252905409 is an apocalyptic number.

252905409 is the 15903-rd square number.

252905409 is the 7952-nd centered octagonal number.

It is an amenable number.

252905409 is a deficient number, since it is larger than the sum of its proper divisors (160612560).

252905409 is an frugal number, since it uses more digits than its factorization.

252905409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 252905409 is about 632.3915223777.

Multiplying 252905409 by its sum of digits (36), we get a square (9104594724 = 95418²).

Multiplying 252905409 by its product of nonzero digits (32400), we get a square (8194135251600 = 2862540²).

The spelling of 252905409 in words is "two hundred fifty-two million, nine hundred five thousand, four hundred nine".