4287420800 has 192 divisors, whose sum is σ = 11904550560. Its totient is φ = 1513881600.

The previous prime is 4287420749. The next prime is 4287420803. The reversal of 4287420800 is 80247824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287420803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954560 + ... + 959040.

Almost surely, 2^4287420800 is an apocalyptic number.

4287420800 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 4287420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952275280).

4287420800 is an abundant number, since it is smaller than the sum of its proper divisors (7617129760).

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

4287420800 is a wasteful number, since it uses less digits than its factorization.

4287420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 4287420800 is about 65478.3994917408. The cubic root of 4287420800 is about 1624.5460886053.

The spelling of 4287420800 in words is "four billion, two hundred eighty-seven million, four hundred twenty thousand, eight hundred".