743460960 has 192 divisors, whose sum is σ = 2575722240. Its totient is φ = 178759680.

The previous prime is 743460919. The next prime is 743460961. The reversal of 743460960 is 69064347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743460961) 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, 733414 + ... + 734426.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^743460960 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 743460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287861120).

743460960 is an abundant number, since it is smaller than the sum of its proper divisors (1832261280).

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

743460960 is a wasteful number, since it uses less digits than its factorization.

743460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 743460960 is about 27266.4805209620. The cubic root of 743460960 is about 905.9120908423.

The spelling of 743460960 in words is "seven hundred forty-three million, four hundred sixty thousand, nine hundred sixty".