4200284160 has 360 divisors, whose sum is σ = 15171383136. Its totient is φ = 1114767360.

The previous prime is 4200284159. The next prime is 4200284183. The reversal of 4200284160 is 614820024.

4200284160 is a `hidden beast` number, since 420 + 0 + 2 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906455 + ... + 19906665.

Almost surely, 2^4200284160 is an apocalyptic number.

4200284160 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 4200284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585691568).

4200284160 is an abundant number, since it is smaller than the sum of its proper divisors (10971098976).

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

4200284160 is an frugal number, since it uses more digits than its factorization.

4200284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

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

The square root of 4200284160 is about 64809.5992889942. The cubic root of 4200284160 is about 1613.4650318614.

The spelling of 4200284160 in words is "four billion, two hundred million, two hundred eighty-four thousand, one hundred sixty".