744124032 has 48 divisors (see below), whose sum is σ = 2141297730. Its totient is φ = 248040960.

The previous prime is 744124027. The next prime is 744124033. The reversal of 744124032 is 230421447.

It can be written as a sum of positive squares in only one way, i.e., 708411456 + 35712576 = 26616^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 744123987 and 744124005.

It is not an unprimeable number, because it can be changed into a prime (744124033) 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 5 ways as a sum of consecutive naturals, for example, 321819 + ... + 324122.

Almost surely, 2^744124032 is an apocalyptic number.

744124032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

744124032 is an abundant number, since it is smaller than the sum of its proper divisors (1397173698).

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

744124032 is a wasteful number, since it uses less digits than its factorization.

744124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645961 (or 645946 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 744124032 is about 27278.6369160924. The cubic root of 744124032 is about 906.1813300199.

Adding to 744124032 its reverse (230421447), we get a palindrome (974545479).

The spelling of 744124032 in words is "seven hundred forty-four million, one hundred twenty-four thousand, thirty-two".