415716096 has 108 divisors (see below), whose sum is σ = 1175949992. Its totient is φ = 130351104.

The previous prime is 415716031. The next prime is 415716121. The reversal of 415716096 is 690617514.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 221016 + ... + 222888.

Almost surely, 2^415716096 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 415716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587974996).

415716096 is an abundant number, since it is smaller than the sum of its proper divisors (760233896).

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

415716096 is a wasteful number, since it uses less digits than its factorization.

415716096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 415716096 is about 20389.1170971183. The cubic root of 415716096 is about 746.3323730299.

The spelling of 415716096 in words is "four hundred fifteen million, seven hundred sixteen thousand, ninety-six".