7481844 has 72 divisors (see below), whose sum is σ = 20042568. Its totient is φ = 2350080.

The previous prime is 7481809. The next prime is 7481857. The reversal of 7481844 is 4481847.

It is a happy number.

7481844 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 6441444 = 1020^2 + 2538^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7481799 and 7481808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54544 + ... + 54680.

It is an arithmetic number, because the mean of its divisors is an integer number (278369).

Almost surely, 2^7481844 is an apocalyptic number.

7481844 is a gapful number since it is divisible by the number (74) 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 7481844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021284).

7481844 is an abundant number, since it is smaller than the sum of its proper divisors (12560724).

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

7481844 is a wasteful number, since it uses less digits than its factorization.

7481844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 7481844 is about 2735.2959620487. The cubic root of 7481844 is about 195.5853025704.

It can be divided in two parts, 74 and 81844, that added together give a palindrome (81918).

The spelling of 7481844 in words is "seven million, four hundred eighty-one thousand, eight hundred forty-four".