869058400 has 144 divisors (see below), whose sum is σ = 2437344000. Its totient is φ = 296409600.

The previous prime is 869058373. The next prime is 869058401. The reversal of 869058400 is 4850968.

869058400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×869058400² = 1510525005221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869058401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741351 + ... + 1741849.

It is an arithmetic number, because the mean of its divisors is an integer number (16926000).

Almost surely, 2^869058400 is an apocalyptic number.

869058400 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 869058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672000).

869058400 is an abundant number, since it is smaller than the sum of its proper divisors (1568285600).

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

869058400 is a wasteful number, since it uses less digits than its factorization.

869058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 869058400 is about 29479.7964714820. The cubic root of 869058400 is about 954.2957445900.

The spelling of 869058400 in words is "eight hundred sixty-nine million, fifty-eight thousand, four hundred".