869842400 has 144 divisors (see below), whose sum is σ = 2569898016. Its totient is φ = 280657920.

The previous prime is 869842387. The next prime is 869842409. The reversal of 869842400 is 4248968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869842409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90632 + ... + 99768.

It is an arithmetic number, because the mean of its divisors is an integer number (17846514).

Almost surely, 2^869842400 is an apocalyptic number.

869842400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284949008).

869842400 is an abundant number, since it is smaller than the sum of its proper divisors (1700055616).

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

869842400 is a wasteful number, since it uses less digits than its factorization.

869842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 869842400 is about 29493.0907163017. The cubic root of 869842400 is about 954.5826232761.

The spelling of 869842400 in words is "eight hundred sixty-nine million, eight hundred forty-two thousand, four hundred".