153968409 has 24 divisors (see below), whose sum is σ = 256039680. Its totient is φ = 87334848.

The previous prime is 153968401. The next prime is 153968429. The reversal of 153968409 is 904869351.

It is a happy number.

153968409 is a `hidden beast` number, since 153 + 96 + 8 + 409 = 666.

It is not a de Polignac number, because 153968409 - 2³ = 153968401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153968401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (10668320).

Almost surely, 2^153968409 is an apocalyptic number.

It is an amenable number.

153968409 is a deficient number, since it is larger than the sum of its proper divisors (102071271).

153968409 is a wasteful number, since it uses less digits than its factorization.

153968409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17989 (or 17986 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 153968409 is about 12408.4007430450. The cubic root of 153968409 is about 535.9741868184.

The spelling of 153968409 in words is "one hundred fifty-three million, nine hundred sixty-eight thousand, four hundred nine".