253409 has 8 divisors (see below), whose sum is σ = 277032. Its totient is φ = 230400.

The previous prime is 253387. The next prime is 253417. The reversal of 253409 is 904352.

It can be written as a sum of positive squares in 4 ways, for example, as 30625 + 222784 = 175^2 + 472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253409 - 2⁸ = 253153 is a prime.

It is a super-2 number, since 2×253409² = 128432242562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (34629).

2²⁵³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

253409 is a deficient number, since it is larger than the sum of its proper divisors (23623).

253409 is a wasteful number, since it uses less digits than its factorization.

253409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 253409 is about 503.3974572840. The cubic root of 253409 is about 63.2810988210.

The spelling of 253409 in words is "two hundred fifty-three thousand, four hundred nine".