879468408 has 256 divisors, whose sum is σ = 3043353600. Its totient is φ = 229132800.

The previous prime is 879468407. The next prime is 879468427. The reversal of 879468408 is 804864978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879468407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985035 + ... + 1985477.

It is an arithmetic number, because the mean of its divisors is an integer number (11888100).

Almost surely, 2^879468408 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 879468408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521676800).

879468408 is an abundant number, since it is smaller than the sum of its proper divisors (2163885192).

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

879468408 is a wasteful number, since it uses less digits than its factorization.

879468408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 879468408 is about 29655.8326135012. The cubic root of 879468408 is about 958.0909719036.

The spelling of 879468408 in words is "eight hundred seventy-nine million, four hundred sixty-eight thousand, four hundred eight".