869424192 has 560 divisors, whose sum is σ = 3373363840. Its totient is φ = 214990848.

The previous prime is 869424191. The next prime is 869424197. The reversal of 869424192 is 291424968.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (869424191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8963088 + ... + 8963184.

It is an arithmetic number, because the mean of its divisors is an integer number (6023864).

Almost surely, 2^869424192 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 869424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686681920).

869424192 is an abundant number, since it is smaller than the sum of its proper divisors (2503939648).

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

869424192 is a wasteful number, since it uses less digits than its factorization.

869424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 869424192 is about 29485.9999321712. Note that the first 4 decimals coincide. The cubic root of 869424192 is about 954.4296154494.

The spelling of 869424192 in words is "eight hundred sixty-nine million, four hundred twenty-four thousand, one hundred ninety-two".