859880448 has 220 divisors, whose sum is σ = 2936577072. Its totient is φ = 245514240.

The previous prime is 859880423. The next prime is 859880467. The reversal of 859880448 is 844088958.

859880448 is a `hidden beast` number, since 8 + 598 + 8 + 0 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 859880394 and 859880403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579868 + ... + 581348.

Almost surely, 2^859880448 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 859880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468288536).

859880448 is an abundant number, since it is smaller than the sum of its proper divisors (2076696624).

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

859880448 is a wasteful number, since it uses less digits than its factorization.

859880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 859880448 is about 29323.7181817040. The cubic root of 859880448 is about 950.9244732982.

The spelling of 859880448 in words is "eight hundred fifty-nine million, eight hundred eighty thousand, four hundred forty-eight".