408338253 has 80 divisors (see below), whose sum is σ = 675354240. Its totient is φ = 244944000.

The previous prime is 408338243. The next prime is 408338257. The reversal of 408338253 is 352833804.

It is not a de Polignac number, because 408338253 - 2¹⁴ = 408321869 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408338257) 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 79 ways as a sum of consecutive naturals, for example, 4042903 + ... + 4043003.

It is an arithmetic number, because the mean of its divisors is an integer number (8441928).

Almost surely, 2^408338253 is an apocalyptic number.

It is an amenable number.

408338253 is a deficient number, since it is larger than the sum of its proper divisors (267015987).

408338253 is a wasteful number, since it uses less digits than its factorization.

408338253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 408338253 is about 20207.3811514506. The cubic root of 408338253 is about 741.8908625140.

The spelling of 408338253 in words is "four hundred eight million, three hundred thirty-eight thousand, two hundred fifty-three".