872484480 has 256 divisors, whose sum is σ = 3531974400. Its totient is φ = 199397376.

The previous prime is 872484443. The next prime is 872484511. The reversal of 872484480 is 84484278.

It is a happy number.

It is a super-2 number, since 2×872484480² = 1522458335681740800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117354 + ... + 124566.

It is an arithmetic number, because the mean of its divisors is an integer number (13796775).

Almost surely, 2^872484480 is an apocalyptic number.

872484480 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 872484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765987200).

872484480 is an abundant number, since it is smaller than the sum of its proper divisors (2659489920).

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

872484480 is a wasteful number, since it uses less digits than its factorization.

872484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 872484480 is about 29537.8482628644. The cubic root of 872484480 is about 955.5481370335.

The spelling of 872484480 in words is "eight hundred seventy-two million, four hundred eighty-four thousand, four hundred eighty".