416417261 has 16 divisors (see below), whose sum is σ = 481932864. Its totient is φ = 356361984.

The previous prime is 416417257. The next prime is 416417263. The reversal of 416417261 is 162714614.

It is a cyclic number.

It is not a de Polignac number, because 416417261 - 2² = 416417257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416417263) 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, 746 + ... + 28868.

It is an arithmetic number, because the mean of its divisors is an integer number (30120804).

Almost surely, 2^416417261 is an apocalyptic number.

It is an amenable number.

416417261 is a deficient number, since it is larger than the sum of its proper divisors (65515603).

416417261 is a wasteful number, since it uses less digits than its factorization.

416417261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28220.

The product of its digits is 8064, while the sum is 32.

The square root of 416417261 is about 20406.3044425001. The cubic root of 416417261 is about 746.7517363170.

The spelling of 416417261 in words is "four hundred sixteen million, four hundred seventeen thousand, two hundred sixty-one".