869054400 has 168 divisors, whose sum is σ = 3168182640. Its totient is φ = 231736320.

The previous prime is 869054383. The next prime is 869054401. The reversal of 869054400 is 4450968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869054401) 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, 33142 + ... + 53258.

It is an arithmetic number, because the mean of its divisors is an integer number (18858230).

Almost surely, 2^869054400 is an apocalyptic number.

869054400 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 869054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584091320).

869054400 is an abundant number, since it is smaller than the sum of its proper divisors (2299128240).

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

869054400 is a wasteful number, since it uses less digits than its factorization.

869054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20148 (or 20127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 869054400 is about 29479.7286283303. The cubic root of 869054400 is about 954.2942804809.

The spelling of 869054400 in words is "eight hundred sixty-nine million, fifty-four thousand, four hundred".