744400 has 30 divisors (see below), whose sum is σ = 1789382. Its totient is φ = 297600.

The previous prime is 744397. The next prime is 744407. The reversal of 744400 is 4447.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 732736 = 108^2 + 856^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 531 + ... + 1330.

2⁷⁴⁴⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

744400 is an abundant number, since it is smaller than the sum of its proper divisors (1044982).

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

744400 is a wasteful number, since it uses less digits than its factorization.

744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 744400 is about 862.7861844049. The cubic root of 744400 is about 90.6293339188.

Adding to 744400 its reverse (4447), we get a palindrome (748847).

The spelling of 744400 in words is "seven hundred forty-four thousand, four hundred", and thus it is an iban number.