842400000 has 540 divisors, whose sum is σ = 3381166404. Its totient is φ = 207360000.

The previous prime is 842399993. The next prime is 842400007. The reversal of 842400000 is 4248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (842399993) and next prime (842400007).

It can be written as a sum of positive squares in 6 ways, for example, as 796594176 + 45805824 = 28224^2 + 6768^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842400007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64799994 + ... + 64800006.

Almost surely, 2^842400000 is an apocalyptic number.

842400000 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 842400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690583202).

842400000 is an abundant number, since it is smaller than the sum of its proper divisors (2538766404).

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

842400000 is an frugal number, since it uses more digits than its factorization.

842400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 842400000 is about 29024.1278938748. The cubic root of 842400000 is about 944.4365499789.

Adding to 842400000 its reverse (4248), we get a palindrome (842404248).

The spelling of 842400000 in words is "eight hundred forty-two million, four hundred thousand".