878584464 has 120 divisors (see below), whose sum is σ = 2586051000. Its totient is φ = 278046720.

The previous prime is 878584457. The next prime is 878584477. The reversal of 878584464 is 464485878.

It can be written as a sum of positive squares in 4 ways, for example, as 55353600 + 823230864 = 7440^2 + 28692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 878584464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253012 + ... + 256460.

It is an arithmetic number, because the mean of its divisors is an integer number (21550425).

Almost surely, 2^878584464 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 878584464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293025500).

878584464 is an abundant number, since it is smaller than the sum of its proper divisors (1707466536).

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

878584464 is a wasteful number, since it uses less digits than its factorization.

878584464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3544 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 878584464 is about 29640.9254916239. The cubic root of 878584464 is about 957.7698754120.

The spelling of 878584464 in words is "eight hundred seventy-eight million, five hundred eighty-four thousand, four hundred sixty-four".