742144409 has 8 divisors (see below), whose sum is σ = 762680520. Its totient is φ = 721633536.

The previous prime is 742144397. The next prime is 742144411. The reversal of 742144409 is 904441247.

742144409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 240250000 + 501894409 = 15500^2 + 22403^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 742144409 - 2⁴ = 742144393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742144609) 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, 63947 + ... + 74655.

It is an arithmetic number, because the mean of its divisors is an integer number (95335065).

Almost surely, 2^742144409 is an apocalyptic number.

It is an amenable number.

742144409 is a deficient number, since it is larger than the sum of its proper divisors (20536111).

742144409 is a wasteful number, since it uses less digits than its factorization.

742144409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 742144409 is about 27242.3275253786. The cubic root of 742144409 is about 905.3770328537.

The spelling of 742144409 in words is "seven hundred forty-two million, one hundred forty-four thousand, four hundred nine".