872840448 has 144 divisors (see below), whose sum is σ = 2614684800. Its totient is φ = 290760192.

The previous prime is 872840429. The next prime is 872840459. The reversal of 872840448 is 844048278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559093 + ... + 560651.

Almost surely, 2^872840448 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 872840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307342400).

872840448 is an abundant number, since it is smaller than the sum of its proper divisors (1741844352).

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

872840448 is an frugal number, since it uses more digits than its factorization.

872840448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1564 counting only the distinct ones).

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

The square root of 872840448 is about 29543.8732734894. The cubic root of 872840448 is about 955.6780718418.

The spelling of 872840448 in words is "eight hundred seventy-two million, eight hundred forty thousand, four hundred forty-eight".