842524200 has 384 divisors, whose sum is σ = 3428352000. Its totient is φ = 186105600.

The previous prime is 842524187. The next prime is 842524213. The reversal of 842524200 is 2425248.

It is a happy number.

842524200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (842524187) and next prime (842524213).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171441 + ... + 1172159.

It is an arithmetic number, because the mean of its divisors is an integer number (8928000).

Almost surely, 2^842524200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842524200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176000).

842524200 is an abundant number, since it is smaller than the sum of its proper divisors (2585827800).

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

842524200 is a wasteful number, since it uses less digits than its factorization.

842524200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 842524200 is about 29026.2674141888. The cubic root of 842524200 is about 944.4829623148.

Adding to 842524200 its reverse (2425248), we get a palindrome (844949448).

It can be divided in two parts, 842524 and 200, that added together give a square (842724 = 918²).

The spelling of 842524200 in words is "eight hundred forty-two million, five hundred twenty-four thousand, two hundred".