413349257 has 8 divisors (see below), whose sum is σ = 427686912. Its totient is φ = 399074400.

The previous prime is 413349247. The next prime is 413349263. The reversal of 413349257 is 752943314.

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 413349257 - 2⁶ = 413349193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413349257.

It is not an unprimeable number, because it can be changed into a prime (413349217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2108 + ... + 28829.

It is an arithmetic number, because the mean of its divisors is an integer number (53460864).

Almost surely, 2^413349257 is an apocalyptic number.

It is an amenable number.

413349257 is a deficient number, since it is larger than the sum of its proper divisors (14337655).

413349257 is a wasteful number, since it uses less digits than its factorization.

413349257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31399.

The product of its digits is 90720, while the sum is 38.

The square root of 413349257 is about 20330.9925237309. The cubic root of 413349257 is about 744.9132863055.

The spelling of 413349257 in words is "four hundred thirteen million, three hundred forty-nine thousand, two hundred fifty-seven".