4284884824 has 32 divisors (see below), whose sum is σ = 8767123200. Its totient is φ = 1947100320.

The previous prime is 4284884801. The next prime is 4284884827.

4284884824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284884827) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 477709 + ... + 486595.

It is an arithmetic number, because the mean of its divisors is an integer number (273972600).

Almost surely, 2^4284884824 is an apocalyptic number.

4284884824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4284884824 is an abundant number, since it is smaller than the sum of its proper divisors (4482238376).

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

4284884824 is a wasteful number, since it uses less digits than its factorization.

4284884824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383 (or 14379 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 52.

The square root of 4284884824 is about 65459.0316457553. The cubic root of 4284884824 is about 1624.2257233143.

The spelling of 4284884824 in words is "four billion, two hundred eighty-four million, eight hundred eighty-four thousand, eight hundred twenty-four".