879472 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 377280.

The previous prime is 879457. The next prime is 879493. The reversal of 879472 is 274978.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

879472 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 3213 + ... + 3475.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸⁷⁹⁴⁷² 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 879472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

879472 is an abundant number, since it is smaller than the sum of its proper divisors (1084688).

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

879472 is a wasteful number, since it uses less digits than its factorization.

879472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 879472 is about 937.8016847927. The cubic root of 879472 is about 95.8092276274.

It can be divided in two parts, 87 and 9472, that added together give a palindrome (9559).

The spelling of 879472 in words is "eight hundred seventy-nine thousand, four hundred seventy-two".