859080480 has 48 divisors (see below), whose sum is σ = 2706105024. Its totient is φ = 229088000.

The previous prime is 859080473. The next prime is 859080487. The reversal of 859080480 is 84080958.

It is an interprime number because it is at equal distance from previous prime (859080473) and next prime (859080487).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×859080480² = 1476038542234060800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (859080487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894396 + ... + 895355.

It is an arithmetic number, because the mean of its divisors is an integer number (56377188).

Almost surely, 2^859080480 is an apocalyptic number.

859080480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

859080480 is an abundant number, since it is smaller than the sum of its proper divisors (1847024544).

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

859080480 is a wasteful number, since it uses less digits than its factorization.

859080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789769 (or 1789761 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 859080480 is about 29310.0747184309. The cubic root of 859080480 is about 950.6294923021.

The spelling of 859080480 in words is "eight hundred fifty-nine million, eighty thousand, four hundred eighty".