414716157 has 6 divisors (see below), whose sum is σ = 599034462. Its totient is φ = 276477432.

The previous prime is 414716147. The next prime is 414716161. The reversal of 414716157 is 751617414.

It can be written as a sum of positive squares in only one way, i.e., 409212441 + 5503716 = 20229^2 + 2346^2 .

It is not a de Polignac number, because 414716157 - 2¹¹ = 414714109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414716117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23039778 + ... + 23039795.

It is an arithmetic number, because the mean of its divisors is an integer number (99839077).

Almost surely, 2^414716157 is an apocalyptic number.

It is an amenable number.

414716157 is a deficient number, since it is larger than the sum of its proper divisors (184318305).

414716157 is a wasteful number, since it uses less digits than its factorization.

414716157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46079579 (or 46079576 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 414716157 is about 20364.5809433929. The cubic root of 414716157 is about 745.7334979699.

The spelling of 414716157 in words is "four hundred fourteen million, seven hundred sixteen thousand, one hundred fifty-seven".