4287824 has 20 divisors (see below), whose sum is σ = 8595060. Its totient is φ = 2069760.

The previous prime is 4287823. The next prime is 4287841.

4287824 is nontrivially palindromic in base 3 and base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3534400 + 753424 = 1880^2 + 868^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4157 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (429753).

Almost surely, 2^4287824 is an apocalyptic number.

It is an amenable number.

4287824 is an abundant number, since it is smaller than the sum of its proper divisors (4307236).

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

4287824 is a wasteful number, since it uses less digits than its factorization.

4287824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9272 counting only the distinct ones).

The product of its digits is 28672, while the sum is 35.

The square root of 4287824 is about 2070.7061597436. The cubic root of 4287824 is about 162.4597012496.

The spelling of 4287824 in words is "four million, two hundred eighty-seven thousand, eight hundred twenty-four".