4287427200 has 960 divisors, whose sum is σ = 19283140800. Its totient is φ = 915701760.

The previous prime is 4287427181. The next prime is 4287427201. The reversal of 4287427200 is 27247824.

4287427200 is a `hidden beast` number, since 4 + 28 + 7 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (4287427201) 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 119 ways as a sum of consecutive naturals, for example, 30844731 + ... + 30844869.

It is an arithmetic number, because the mean of its divisors is an integer number (20086605).

Almost surely, 2^4287427200 is an apocalyptic number.

4287427200 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 4287427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641570400).

4287427200 is an abundant number, since it is smaller than the sum of its proper divisors (14995713600).

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

4287427200 is a wasteful number, since it uses less digits than its factorization.

4287427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4287427200 is about 65478.4483628010. The cubic root of 4287427200 is about 1624.5468969460.

The spelling of 4287427200 in words is "four billion, two hundred eighty-seven million, four hundred twenty-seven thousand, two hundred".