411201657 has 16 divisors (see below), whose sum is σ = 610335360. Its totient is φ = 273618000.

The previous prime is 411201649. The next prime is 411201677. The reversal of 411201657 is 756102114.

It is a happy number.

411201657 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 0 + 1 + 657 = 666.

It is not a de Polignac number, because 411201657 - 2³ = 411201649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 411201657.

It is not an unprimeable number, because it can be changed into a prime (411201617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532 + ... + 28682.

It is an arithmetic number, because the mean of its divisors is an integer number (38145960).

Almost surely, 2^411201657 is an apocalyptic number.

It is an amenable number.

411201657 is a deficient number, since it is larger than the sum of its proper divisors (199133703).

411201657 is a wasteful number, since it uses less digits than its factorization.

411201657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28701 (or 28695 counting only the distinct ones).

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

The square root of 411201657 is about 20278.1078259289. The cubic root of 411201657 is about 743.6209535117.

The spelling of 411201657 in words is "four hundred eleven million, two hundred one thousand, six hundred fifty-seven".