744040801 has 16 divisors (see below), whose sum is σ = 870307200. Its totient is φ = 622942848.

The previous prime is 744040771. The next prime is 744040811. The reversal of 744040801 is 108040447.

It is a cyclic number.

It is not a de Polignac number, because 744040801 - 2²⁹ = 207169889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 744040801.

It is not an unprimeable number, because it can be changed into a prime (744040811) 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 15 ways as a sum of consecutive naturals, for example, 44515 + ... + 58903.

It is an arithmetic number, because the mean of its divisors is an integer number (54394200).

Almost surely, 2^744040801 is an apocalyptic number.

It is an amenable number.

744040801 is a deficient number, since it is larger than the sum of its proper divisors (126266399).

744040801 is a wasteful number, since it uses less digits than its factorization.

744040801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14568.

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 744040801 is about 27277.1113023355. Note that the first 3 decimals coincide. The cubic root of 744040801 is about 906.1475430045.

The spelling of 744040801 in words is "seven hundred forty-four million, forty thousand, eight hundred one".