414857957 has 2 divisors, whose sum is σ = 414857958. Its totient is φ = 414857956.

The previous prime is 414857929. The next prime is 414857981. The reversal of 414857957 is 759758414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228644641 + 186213316 = 15121^2 + 13646^2 .

It is a cyclic number.

It is not a de Polignac number, because 414857957 - 2⁸ = 414857701 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414857257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207428978 + 207428979.

It is an arithmetic number, because the mean of its divisors is an integer number (207428979).

Almost surely, 2^414857957 is an apocalyptic number.

It is an amenable number.

414857957 is a deficient number, since it is larger than the sum of its proper divisors (1).

414857957 is an equidigital number, since it uses as much as digits as its factorization.

414857957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1411200, while the sum is 50.

The square root of 414857957 is about 20368.0621807770. The cubic root of 414857957 is about 745.8184821681.

The spelling of 414857957 in words is "four hundred fourteen million, eight hundred fifty-seven thousand, nine hundred fifty-seven".