840400000 has 192 divisors, whose sum is σ = 2294853120. Its totient is φ = 304000000.

The previous prime is 840399979. The next prime is 840400003. The reversal of 840400000 is 4048.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (840400003) 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, 4399905 + ... + 4400095.

It is an arithmetic number, because the mean of its divisors is an integer number (11952360).

Almost surely, 2^840400000 is an apocalyptic number.

840400000 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 840400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147426560).

840400000 is an abundant number, since it is smaller than the sum of its proper divisors (1454453120).

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

840400000 is an equidigital number, since it uses as much as digits as its factorization.

840400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 840400000 is about 28989.6533266612. The cubic root of 840400000 is about 943.6885403598.

Adding to 840400000 its reverse (4048), we get a palindrome (840404048).

The spelling of 840400000 in words is "eight hundred forty million, four hundred thousand".