7444404 has 54 divisors (see below), whose sum is σ = 20696130. Its totient is φ = 2254560.

The previous prime is 7444403. The next prime is 7444427. The reversal of 7444404 is 4044447.

7444404 = T₁₁₇ + T₁₁₈ + ... + T₃₅₈.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5336100 + 2108304 = 2310^2 + 1452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7444403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3502 + ... + 5210.

Almost surely, 2^7444404 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 7444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348065).

7444404 is an abundant number, since it is smaller than the sum of its proper divisors (13251726).

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

7444404 is a wasteful number, since it uses less digits than its factorization.

7444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 7444404 is about 2728.4435123345. The cubic root of 7444404 is about 195.2585131513.

The spelling of 7444404 in words is "seven million, four hundred forty-four thousand, four hundred four".