744234304 has 56 divisors (see below), whose sum is σ = 1621999296. Its totient is φ = 336000000.

The previous prime is 744234301. The next prime is 744234307. The reversal of 744234304 is 403432447.

It is an interprime number because it is at equal distance from previous prime (744234301) and next prime (744234307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744234301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102804 + ... + 109804.

Almost surely, 2^744234304 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 744234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810999648).

744234304 is an abundant number, since it is smaller than the sum of its proper divisors (877764992).

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

744234304 is a wasteful number, since it uses less digits than its factorization.

744234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 31.

The square root of 744234304 is about 27280.6580565792. The cubic root of 744234304 is about 906.2260902515.

The spelling of 744234304 in words is "seven hundred forty-four million, two hundred thirty-four thousand, three hundred four".