416716104 has 128 divisors (see below), whose sum is σ = 1284906240. Its totient is φ = 109903872.

The previous prime is 416716103. The next prime is 416716123. The reversal of 416716104 is 401617614.

It is a super-2 number, since 2×416716104² = 347304622665877632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416716103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149992 + ... + 152744.

It is an arithmetic number, because the mean of its divisors is an integer number (10038330).

Almost surely, 2^416716104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416716104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642453120).

416716104 is an abundant number, since it is smaller than the sum of its proper divisors (868190136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416716104 is a wasteful number, since it uses less digits than its factorization.

416716104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 416716104 is about 20413.6254496843. The cubic root of 416716104 is about 746.9303297513.

The spelling of 416716104 in words is "four hundred sixteen million, seven hundred sixteen thousand, one hundred four".