4242864 has 40 divisors (see below), whose sum is σ = 11261680. Its totient is φ = 1375488.

The previous prime is 4242859. The next prime is 4242869. The reversal of 4242864 is 4682424.

It is an interprime number because it is at equal distance from previous prime (4242859) and next prime (4242869).

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

It is not an unprimeable number, because it can be changed into a prime (4242869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 2970.

It is an arithmetic number, because the mean of its divisors is an integer number (281542).

Almost surely, 2^4242864 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 4242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630840).

4242864 is an abundant number, since it is smaller than the sum of its proper divisors (7018816).

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

4242864 is a wasteful number, since it uses less digits than its factorization.

4242864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2431 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4242864 is about 2059.8213514769. The cubic root of 4242864 is about 161.8898809633.

The spelling of 4242864 in words is "four million, two hundred forty-two thousand, eight hundred sixty-four".