859668480 has 384 divisors, whose sum is σ = 3312401040. Its totient is φ = 204472320.

The previous prime is 859668391. The next prime is 859668487. The reversal of 859668480 is 84866958.

It is a happy number.

859668480 is a `hidden beast` number, since 8 + 596 + 6 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859668487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16220134 + ... + 16220186.

Almost surely, 2^859668480 is an apocalyptic number.

859668480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656200520).

859668480 is an abundant number, since it is smaller than the sum of its proper divisors (2452732560).

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

859668480 is a wasteful number, since it uses less digits than its factorization.

859668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 859668480 is about 29320.1036833092. The cubic root of 859668480 is about 950.8463298291.

The spelling of 859668480 in words is "eight hundred fifty-nine million, six hundred sixty-eight thousand, four hundred eighty".