741793440 has 192 divisors, whose sum is σ = 2479680000. Its totient is φ = 185877504.

The previous prime is 741793439. The next prime is 741793441. The reversal of 741793440 is 44397147.

741793440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (741793439) and next prime (741793441).

It is not an unprimeable number, because it can be changed into a prime (741793441) 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, 1486311 + ... + 1486809.

It is an arithmetic number, because the mean of its divisors is an integer number (12915000).

Almost surely, 2^741793440 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 741793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239840000).

741793440 is an abundant number, since it is smaller than the sum of its proper divisors (1737886560).

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

741793440 is a wasteful number, since it uses less digits than its factorization.

741793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 741793440 is about 27235.8851517626. The cubic root of 741793440 is about 905.2342891271.

The spelling of 741793440 in words is "seven hundred forty-one million, seven hundred ninety-three thousand, four hundred forty".