415716 has 48 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 117600.

The previous prime is 415697. The next prime is 415717. The reversal of 415716 is 617514.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415716.

It is not an unprimeable number, because it can be changed into a prime (415717) by changing a digit.

415716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4066 + ... + 4166.

It is an arithmetic number, because the mean of its divisors is an integer number (23800).

2⁴¹⁵⁷¹⁶ 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 415716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571200).

415716 is an abundant number, since it is smaller than the sum of its proper divisors (726684).

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

415716 is a wasteful number, since it uses less digits than its factorization.

415716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 415716 is about 644.7604206215. The cubic root of 415716 is about 74.6332315581.

The spelling of 415716 in words is "four hundred fifteen thousand, seven hundred sixteen".