4241800 has 48 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1673280.

The previous prime is 4241779. The next prime is 4241813. The reversal of 4241800 is 81424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25317 + ... + 25483.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 2^4241800 is an apocalyptic number.

4241800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

4241800 is an abundant number, since it is smaller than the sum of its proper divisors (5757560).

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

4241800 is a wasteful number, since it uses less digits than its factorization.

4241800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4241800 is about 2059.5630604572. The cubic root of 4241800 is about 161.8763472406.

It can be divided in two parts, 4241 and 800, that added together give a square (5041 = 71²).

The spelling of 4241800 in words is "four million, two hundred forty-one thousand, eight hundred".