4282184256 has 224 divisors, whose sum is σ = 13545799680. Its totient is φ = 1168128000.

The previous prime is 4282184173. The next prime is 4282184267. The reversal of 4282184256 is 6524812824.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290806 + ... + 3292106.

It is an arithmetic number, because the mean of its divisors is an integer number (60472320).

Almost surely, 2^4282184256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282184256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772899840).

4282184256 is an abundant number, since it is smaller than the sum of its proper divisors (9263615424).

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

4282184256 is a wasteful number, since it uses less digits than its factorization.

4282184256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1423 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 4282184256 is about 65438.4004694491. The cubic root of 4282184256 is about 1623.8844264053.

The spelling of 4282184256 in words is "four billion, two hundred eighty-two million, one hundred eighty-four thousand, two hundred fifty-six".