414318157 has 24 divisors (see below), whose sum is σ = 478033920. Its totient is φ = 358327200.

The previous prime is 414318109. The next prime is 414318187. The reversal of 414318157 is 751813414.

It is a de Polignac number, because none of the positive numbers 2^k-414318157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414318187) 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 23 ways as a sum of consecutive naturals, for example, 248308 + ... + 249970.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^414318157 is an apocalyptic number.

It is an amenable number.

414318157 is a deficient number, since it is larger than the sum of its proper divisors (63715763).

414318157 is a wasteful number, since it uses less digits than its factorization.

414318157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1774 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 414318157 is about 20354.8067296155. The cubic root of 414318157 is about 745.4948633247.

The spelling of 414318157 in words is "four hundred fourteen million, three hundred eighteen thousand, one hundred fifty-seven".