4245820800 has 288 divisors, whose sum is σ = 15148952280. Its totient is φ = 1044725760.

The previous prime is 4245820763. The next prime is 4245820819. The reversal of 4245820800 is 80285424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1621092 + ... + 1623708.

Almost surely, 2^4245820800 is an apocalyptic number.

4245820800 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 4245820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574476140).

4245820800 is an abundant number, since it is smaller than the sum of its proper divisors (10903131480).

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

4245820800 is a wasteful number, since it uses less digits than its factorization.

4245820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 4245820800 is about 65159.9631675771. The cubic root of 4245820800 is about 1619.2747858984.

The spelling of 4245820800 in words is "four billion, two hundred forty-five million, eight hundred twenty thousand, eight hundred".