4529422800 has 630 divisors, whose sum is σ = 19039060998. Its totient is φ = 1032030720.

The previous prime is 4529422789. The next prime is 4529422801. The reversal of 4529422800 is 82249254.

It can be written as a sum of positive squares in 3 ways, for example, as 2286144 + 4527136656 = 1512^2 + 67284^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4529422801) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14288242 + ... + 14288558.

Almost surely, 2^4529422800 is an apocalyptic number.

4529422800 is a gapful number since it is divisible by the number (40) 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 4529422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519530499).

4529422800 is an abundant number, since it is smaller than the sum of its proper divisors (14509638198).

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

4529422800 is a wasteful number, since it uses less digits than its factorization.

4529422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4529422800 is about 67300.9866198112. The cubic root of 4529422800 is about 1654.5540307965.

The spelling of 4529422800 in words is "four billion, five hundred twenty-nine million, four hundred twenty-two thousand, eight hundred".