869248800 has 288 divisors, whose sum is σ = 3593520000. Its totient is φ = 198650880.

The previous prime is 869248789. The next prime is 869248823. The reversal of 869248800 is 8842968.

It is a happy number.

869248800 is a `hidden beast` number, since 86 + 92 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 148326 + ... + 154074.

It is an arithmetic number, because the mean of its divisors is an integer number (12477500).

Almost surely, 2^869248800 is an apocalyptic number.

869248800 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 869248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796760000).

869248800 is an abundant number, since it is smaller than the sum of its proper divisors (2724271200).

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

869248800 is a wasteful number, since it uses less digits than its factorization.

869248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 869248800 is about 29483.0256249253. The cubic root of 869248800 is about 954.3654309855.

The spelling of 869248800 in words is "eight hundred sixty-nine million, two hundred forty-eight thousand, eight hundred".