416120157 has 6 divisors (see below), whose sum is σ = 601062462. Its totient is φ = 277413432.

The previous prime is 416120153. The next prime is 416120171. The reversal of 416120157 is 751021614.

It is a happy number.

416120157 is a `hidden beast` number, since 41 + 612 + 0 + 1 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328116996 + 88003161 = 18114^2 + 9381^2 .

It is not a de Polignac number, because 416120157 - 2² = 416120153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416120157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416120153) 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, 23117778 + ... + 23117795.

It is an arithmetic number, because the mean of its divisors is an integer number (100177077).

Almost surely, 2^416120157 is an apocalyptic number.

It is an amenable number.

416120157 is a deficient number, since it is larger than the sum of its proper divisors (184942305).

416120157 is a wasteful number, since it uses less digits than its factorization.

416120157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46235579 (or 46235576 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 416120157 is about 20399.0234325077. The cubic root of 416120157 is about 746.5740974163.

The spelling of 416120157 in words is "four hundred sixteen million, one hundred twenty thousand, one hundred fifty-seven".