416096856 has 96 divisors (see below), whose sum is σ = 1290900000. Its totient is φ = 118609920.

The previous prime is 416096839. The next prime is 416096869. The reversal of 416096856 is 658690614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332520 + ... + 333768.

It is an arithmetic number, because the mean of its divisors is an integer number (13446875).

Almost surely, 2^416096856 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 416096856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645450000).

416096856 is an abundant number, since it is smaller than the sum of its proper divisors (874803144).

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

416096856 is a wasteful number, since it uses less digits than its factorization.

416096856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 416096856 is about 20398.4522942306. The cubic root of 416096856 is about 746.5601621403.

The spelling of 416096856 in words is "four hundred sixteen million, ninety-six thousand, eight hundred fifty-six".