744492960 has 144 divisors (see below), whose sum is σ = 2674395360. Its totient is φ = 188075520.

The previous prime is 744492949. The next prime is 744492977. The reversal of 744492960 is 69294447.

744492960 is a `hidden beast` number, since 74 + 4 + 492 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 13755 + ... + 40965.

It is an arithmetic number, because the mean of its divisors is an integer number (18572190).

Almost surely, 2^744492960 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 744492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337197680).

744492960 is an abundant number, since it is smaller than the sum of its proper divisors (1929902400).

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

744492960 is a wasteful number, since it uses less digits than its factorization.

744492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251 (or 27240 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 744492960 is about 27285.3982928599. The cubic root of 744492960 is about 906.3310633155.

The spelling of 744492960 in words is "seven hundred forty-four million, four hundred ninety-two thousand, nine hundred sixty".