4284201600 has 576 divisors, whose sum is σ = 17757792000. Its totient is φ = 963256320.

The previous prime is 4284201587. The next prime is 4284201611. The reversal of 4284201600 is 61024824.

4284201600 = 371² + 372² + ... + 2345².

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 15926266 + ... + 15926534.

It is an arithmetic number, because the mean of its divisors is an integer number (30829500).

Almost surely, 2^4284201600 is an apocalyptic number.

4284201600 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 4284201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878896000).

4284201600 is an abundant number, since it is smaller than the sum of its proper divisors (13473590400).

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

4284201600 is a wasteful number, since it uses less digits than its factorization.

4284201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4284201600 is about 65453.8127231714. The cubic root of 4284201600 is about 1624.1393912402.

The spelling of 4284201600 in words is "four billion, two hundred eighty-four million, two hundred one thousand, six hundred".