872938440 has 192 divisors, whose sum is σ = 3277272960. Its totient is φ = 199157760.

The previous prime is 872938427. The next prime is 872938441. The reversal of 872938440 is 44839278.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (872938441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60837 + ... + 73803.

It is an arithmetic number, because the mean of its divisors is an integer number (17069130).

Almost surely, 2^872938440 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 872938440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638636480).

872938440 is an abundant number, since it is smaller than the sum of its proper divisors (2404334520).

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

872938440 is a wasteful number, since it uses less digits than its factorization.

872938440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 872938440 is about 29545.5316418575. The cubic root of 872938440 is about 955.7138345066.

It can be divided in two parts, 872938 and 440, that added together give a palindrome (873378).

The spelling of 872938440 in words is "eight hundred seventy-two million, nine hundred thirty-eight thousand, four hundred forty".