744634944 has 105 divisors (see below), whose sum is σ = 2213170707. Its totient is φ = 247556736.

The previous prime is 744634931. The next prime is 744634963. The reversal of 744634944 is 449436447.

The square root of 744634944 is 27288.

It is a perfect power (a square), and thus also a powerful number.

744634944 is a `hidden beast` number, since 7 + 4 + 4 + 634 + 9 + 4 + 4 = 666.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 744634944.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 1964547 + ... + 1964925.

Almost surely, 2^744634944 is an apocalyptic number.

744634944 is the 27288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744634944

744634944 is an abundant number, since it is smaller than the sum of its proper divisors (1468535763).

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

744634944 is an frugal number, since it uses more digits than its factorization.

744634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 384 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The cubic root of 744634944 is about 906.3886758281.

The spelling of 744634944 in words is "seven hundred forty-four million, six hundred thirty-four thousand, nine hundred forty-four".