416713101 has 16 divisors (see below), whose sum is σ = 647952000. Its totient is φ = 238121184.

The previous prime is 416713091. The next prime is 416713117. The reversal of 416713101 is 101317614.

It is not a de Polignac number, because 416713101 - 2⁹ = 416712589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416713001) 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, 201456 + ... + 203513.

It is an arithmetic number, because the mean of its divisors is an integer number (40497000).

Almost surely, 2^416713101 is an apocalyptic number.

It is an amenable number.

416713101 is a deficient number, since it is larger than the sum of its proper divisors (231238899).

416713101 is an equidigital number, since it uses as much as digits as its factorization.

416713101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404993 (or 404979 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 416713101 is about 20413.5518957383. The cubic root of 416713101 is about 746.9285355345.

The spelling of 416713101 in words is "four hundred sixteen million, seven hundred thirteen thousand, one hundred one".