4242784 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1589760.

The previous prime is 4242781. The next prime is 4242829. The reversal of 4242784 is 4872424.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 (4242781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90249 + ... + 90295.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 2^4242784 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 4242784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

4242784 is an abundant number, since it is smaller than the sum of its proper divisors (6595232).

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

4242784 is a wasteful number, since it uses less digits than its factorization.

4242784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 4242784 is about 2059.8019322255. The cubic root of 4242784 is about 161.8888634688. Note that the first 4 decimals are identical.

It can be divided in two parts, 424 and 2784, that multiplied together give a triangular number (1180416 = T₁₅₃₆).

The spelling of 4242784 in words is "four million, two hundred forty-two thousand, seven hundred eighty-four".