4241920 has 40 divisors (see below), whose sum is σ = 10176804. Its totient is φ = 1695744.

The previous prime is 4241903. The next prime is 4241929. The reversal of 4241920 is 291424.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 112896 = 2032^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4241891 and 4241900.

It is not an unprimeable number, because it can be changed into a prime (4241929) 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, 1732 + ... + 3388.

Almost surely, 2^4241920 is an apocalyptic number.

4241920 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 4241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088402).

4241920 is an abundant number, since it is smaller than the sum of its proper divisors (5934884).

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

4241920 is an equidigital number, since it uses as much as digits as its factorization.

4241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4241920 is about 2059.5921926440. The cubic root of 4241920 is about 161.8778737135.

The spelling of 4241920 in words is "four million, two hundred forty-one thousand, nine hundred twenty".