741297312 has 192 divisors, whose sum is σ = 2601446400. Its totient is φ = 200620800.

The previous prime is 741297311. The next prime is 741297317. The reversal of 741297312 is 213792147.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (741297311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111687 + ... + 118137.

It is an arithmetic number, because the mean of its divisors is an integer number (13549200).

Almost surely, 2^741297312 is an apocalyptic number.

741297312 is a gapful number since it is divisible by the number (72) 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 741297312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300723200).

741297312 is an abundant number, since it is smaller than the sum of its proper divisors (1860149088).

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

741297312 is a wasteful number, since it uses less digits than its factorization.

741297312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6482 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 741297312 is about 27226.7756445746. The cubic root of 741297312 is about 905.0324304893.

The spelling of 741297312 in words is "seven hundred forty-one million, two hundred ninety-seven thousand, three hundred twelve".