4285990800 has 960 divisors, whose sum is σ = 19373760000. Its totient is φ = 894136320.

The previous prime is 4285990763. The next prime is 4285990817. The reversal of 4285990800 is 80995824.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48157156 + ... + 48157244.

It is an arithmetic number, because the mean of its divisors is an integer number (20181000).

Almost surely, 2^4285990800 is an apocalyptic number.

4285990800 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 4285990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880000).

4285990800 is an abundant number, since it is smaller than the sum of its proper divisors (15087769200).

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

4285990800 is a wasteful number, since it uses less digits than its factorization.

4285990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4285990800 is about 65467.4789494754. The cubic root of 4285990800 is about 1624.3654548132.

The spelling of 4285990800 in words is "four billion, two hundred eighty-five million, nine hundred ninety thousand, eight hundred".