868444416 has 360 divisors, whose sum is σ = 3070774784. Its totient is φ = 238878720.

The previous prime is 868444387. The next prime is 868444429. The reversal of 868444416 is 614444868.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4499616 + ... + 4499808.

Almost surely, 2^868444416 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 868444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535387392).

868444416 is an abundant number, since it is smaller than the sum of its proper divisors (2202330368).

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

868444416 is a wasteful number, since it uses less digits than its factorization.

868444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 236 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 868444416 is about 29469.3809911237. The cubic root of 868444416 is about 954.0709571050.

The spelling of 868444416 in words is "eight hundred sixty-eight million, four hundred forty-four thousand, four hundred sixteen".