562361800 has 288 divisors, whose sum is σ = 1789260480. Its totient is φ = 158745600.

The previous prime is 562361797. The next prime is 562361801. The reversal of 562361800 is 8163265.

It is not an unprimeable number, because it can be changed into a prime (562361801) 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 71 ways as a sum of consecutive naturals, for example, 10610574 + ... + 10610626.

It is an arithmetic number, because the mean of its divisors is an integer number (6212710).

Almost surely, 2^562361800 is an apocalyptic number.

562361800 is a gapful number since it is divisible by the number (50) 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 562361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894630240).

562361800 is an abundant number, since it is smaller than the sum of its proper divisors (1226898680).

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

562361800 is a wasteful number, since it uses less digits than its factorization.

562361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 562361800 is about 23714.1687604689. The cubic root of 562361800 is about 825.4142027833.

The spelling of 562361800 in words is "five hundred sixty-two million, three hundred sixty-one thousand, eight hundred".