856608480 has 384 divisors, whose sum is σ = 3691699200. Its totient is φ = 180652032.

The previous prime is 856608479. The next prime is 856608491. The reversal of 856608480 is 84806658.

856608480 is a `hidden beast` number, since 8 + 566 + 0 + 8 + 4 + 80 = 666.

856608480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392031 + ... + 394209.

It is an arithmetic number, because the mean of its divisors is an integer number (9613800).

Almost surely, 2^856608480 is an apocalyptic number.

856608480 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 856608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845849600).

856608480 is an abundant number, since it is smaller than the sum of its proper divisors (2835090720).

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

856608480 is a wasteful number, since it uses less digits than its factorization.

856608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 856608480 is about 29267.8745384765. The cubic root of 856608480 is about 949.7168057084.

The spelling of 856608480 in words is "eight hundred fifty-six million, six hundred eight thousand, four hundred eighty".