744090160 has 160 divisors (see below), whose sum is σ = 2005585920. Its totient is φ = 253900800.

The previous prime is 744090157. The next prime is 744090163. The reversal of 744090160 is 61090447.

It is an interprime number because it is at equal distance from previous prime (744090157) and next prime (744090163).

It is not an unprimeable number, because it can be changed into a prime (744090163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3193404 + ... + 3193636.

It is an arithmetic number, because the mean of its divisors is an integer number (12534912).

Almost surely, 2^744090160 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 744090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

744090160 is an abundant number, since it is smaller than the sum of its proper divisors (1261495760).

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

744090160 is a wasteful number, since it uses less digits than its factorization.

744090160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 744090160 is about 27278.0160568909. The cubic root of 744090160 is about 906.1675802334.

The spelling of 744090160 in words is "seven hundred forty-four million, ninety thousand, one hundred sixty".