884400000 has 384 divisors, whose sum is σ = 3251041920. Its totient is φ = 211200000.

The previous prime is 884399983. The next prime is 884400007. The reversal of 884400000 is 4488.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (884400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199967 + ... + 13200033.

It is an arithmetic number, because the mean of its divisors is an integer number (8466255).

Almost surely, 2^884400000 is an apocalyptic number.

884400000 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 884400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625520960).

884400000 is an abundant number, since it is smaller than the sum of its proper divisors (2366641920).

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

884400000 is an equidigital number, since it uses as much as digits as its factorization.

884400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 884400000 is about 29738.8634618070. The cubic root of 884400000 is about 959.8784568346.

Adding to 884400000 its reverse (4488), we get a palindrome (884404488).

The spelling of 884400000 in words is "eight hundred eighty-four million, four hundred thousand".