856904480 has 72 divisors (see below), whose sum is σ = 2092223196. Its totient is φ = 331645440.

The previous prime is 856904479. The next prime is 856904509. The reversal of 856904480 is 84409658.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 750979216 + 105925264 = 27404^2 + 10292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150974 + ... + 156546.

Almost surely, 2^856904480 is an apocalyptic number.

856904480 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 856904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046111598).

856904480 is an abundant number, since it is smaller than the sum of its proper divisors (1235318716).

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

856904480 is a wasteful number, since it uses less digits than its factorization.

856904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 856904480 is about 29272.9308406248. The cubic root of 856904480 is about 949.8261842664.

The spelling of 856904480 in words is "eight hundred fifty-six million, nine hundred four thousand, four hundred eighty".