253340409 has 32 divisors (see below), whose sum is σ = 409743360. Its totient is φ = 135919872.

The previous prime is 253340407. The next prime is 253340411. The reversal of 253340409 is 904043352.

It is an interprime number because it is at equal distance from previous prime (253340407) and next prime (253340411).

It is not a de Polignac number, because 253340409 - 2¹ = 253340407 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (253340407) 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 31 ways as a sum of consecutive naturals, for example, 243312 + ... + 244350.

It is an arithmetic number, because the mean of its divisors is an integer number (12804480).

Almost surely, 2^253340409 is an apocalyptic number.

It is an amenable number.

253340409 is a deficient number, since it is larger than the sum of its proper divisors (156402951).

253340409 is a wasteful number, since it uses less digits than its factorization.

253340409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 253340409 is about 15916.6707888302. The cubic root of 253340409 is about 632.7538880865.

The spelling of 253340409 in words is "two hundred fifty-three million, three hundred forty thousand, four hundred nine".