870484320 has 336 divisors, whose sum is σ = 3272179680. Its totient is φ = 217976832.

The previous prime is 870484319. The next prime is 870484333. The reversal of 870484320 is 23484078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982661 + ... + 1983099.

It is an arithmetic number, because the mean of its divisors is an integer number (9738630).

Almost surely, 2^870484320 is an apocalyptic number.

870484320 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 870484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636089840).

870484320 is an abundant number, since it is smaller than the sum of its proper divisors (2401695360).

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

870484320 is a wasteful number, since it uses less digits than its factorization.

870484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 870484320 is about 29503.9712581205. The cubic root of 870484320 is about 954.8173841954.

The spelling of 870484320 in words is "eight hundred seventy million, four hundred eighty-four thousand, three hundred twenty".