4242624 has 56 divisors (see below), whose sum is σ = 11826240. Its totient is φ = 1338624.

The previous prime is 4242619. The next prime is 4242659. The reversal of 4242624 is 4262424.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 4³ + 2⁸ + 4³ + 2¹⁰ + 6⁶ + 2²² + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 4242594 and 4242603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067 + ... + 4229.

Almost surely, 2^4242624 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 4242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913120).

4242624 is an abundant number, since it is smaller than the sum of its proper divisors (7583616).

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

4242624 is a wasteful number, since it uses less digits than its factorization.

4242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4242624 is about 2059.7630931736. The cubic root of 4242624 is about 161.8868284415.

The spelling of 4242624 in words is "four million, two hundred forty-two thousand, six hundred twenty-four".