842342400 has 252 divisors, whose sum is σ = 3023875842. Its totient is φ = 224133120.

The previous prime is 842342399. The next prime is 842342419. The reversal of 842342400 is 4243248.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 753831936 + 88510464 = 27456^2 + 9408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1842972 + ... + 1843428.

Almost surely, 2^842342400 is an apocalyptic number.

842342400 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 842342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511937921).

842342400 is an abundant number, since it is smaller than the sum of its proper divisors (2181533442).

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

842342400 is a wasteful number, since it uses less digits than its factorization.

842342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 842342400 is about 29023.1355990355. The cubic root of 842342400 is about 944.4150238689.

Adding to 842342400 its reverse (4243248), we get a palindrome (846585648).

The spelling of 842342400 in words is "eight hundred forty-two million, three hundred forty-two thousand, four hundred".