869232000 has 512 divisors, whose sum is σ = 3564288000. Its totient is φ = 182476800.

The previous prime is 869231963. The next prime is 869232011. The reversal of 869232000 is 232968.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367901 + ... + 4368099.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2^869232000 is an apocalyptic number.

869232000 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 869232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782144000).

869232000 is an abundant number, since it is smaller than the sum of its proper divisors (2695056000).

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

869232000 is a wasteful number, since it uses less digits than its factorization.

869232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 869232000 is about 29482.7407138482. The cubic root of 869232000 is about 954.3592825952.

Adding to 869232000 its reverse (232968), we get a palindrome (869464968).

The spelling of 869232000 in words is "eight hundred sixty-nine million, two hundred thirty-two thousand".