4285900800 has 432 divisors, whose sum is σ = 15684308640. Its totient is φ = 1118208000.

The previous prime is 4285900793. The next prime is 4285900867. The reversal of 4285900800 is 80095824.

4285900800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32716735 + ... + 32716865.

It is an arithmetic number, because the mean of its divisors is an integer number (36306270).

Almost surely, 2^4285900800 is an apocalyptic number.

4285900800 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 4285900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842154320).

4285900800 is an abundant number, since it is smaller than the sum of its proper divisors (11398407840).

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

4285900800 is a wasteful number, since it uses less digits than its factorization.

4285900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4285900800 is about 65466.7915816867. The cubic root of 4285900800 is about 1624.3540849090.

The spelling of 4285900800 in words is "four billion, two hundred eighty-five million, nine hundred thousand, eight hundred".