253408919 has 8 divisors (see below), whose sum is σ = 270118800. Its totient is φ = 236899456.

The previous prime is 253408907. The next prime is 253408927. The reversal of 253408919 is 919804352.

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 253408919 - 2¹⁶ = 253343383 is a prime.

It is a super-3 number, since 3×253408919³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253408999) 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 7 ways as a sum of consecutive naturals, for example, 47489 + ... + 52554.

It is an arithmetic number, because the mean of its divisors is an integer number (33764850).

Almost surely, 2^253408919 is an apocalyptic number.

253408919 is a deficient number, since it is larger than the sum of its proper divisors (16709881).

253408919 is a wasteful number, since it uses less digits than its factorization.

253408919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100209.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 253408919 is about 15918.8227893899. The cubic root of 253408919 is about 632.8109207854.

The spelling of 253408919 in words is "two hundred fifty-three million, four hundred eight thousand, nine hundred nineteen".