884400400 has 120 divisors (see below), whose sum is σ = 2332116360. Its totient is φ = 320286720.

The previous prime is 884400371. The next prime is 884400403. The reversal of 884400400 is 4004488.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 268566544 + 615833856 = 16388^2 + 24816^2 .

It is not an unprimeable number, because it can be changed into a prime (884400403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273996 + ... + 277204.

It is an arithmetic number, because the mean of its divisors is an integer number (19434303).

Almost surely, 2^884400400 is an apocalyptic number.

884400400 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 884400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166058180).

884400400 is an abundant number, since it is smaller than the sum of its proper divisors (1447715960).

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

884400400 is a wasteful number, since it uses less digits than its factorization.

884400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 884400400 is about 29738.8701870128. The cubic root of 884400400 is about 959.8786015471.

Adding to 884400400 its reverse (4004488), we get a palindrome (888404888).

The spelling of 884400400 in words is "eight hundred eighty-four million, four hundred thousand, four hundred".