744843960 has 384 divisors, whose sum is σ = 2943682560. Its totient is φ = 159667200.

The previous prime is 744843943. The next prime is 744843991. The reversal of 744843960 is 69348447.

744843960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×744843960³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4115070 + ... + 4115250.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^744843960 is an apocalyptic number.

744843960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744843960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471841280).

744843960 is an abundant number, since it is smaller than the sum of its proper divisors (2198838600).

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

744843960 is a wasteful number, since it uses less digits than its factorization.

744843960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 744843960 is about 27291.8295465877. The cubic root of 744843960 is about 906.4734744325.

The spelling of 744843960 in words is "seven hundred forty-four million, eight hundred forty-three thousand, nine hundred sixty".