930729744 has 320 divisors, whose sum is σ = 3266457600. Its totient is φ = 247836672.

The previous prime is 930729743. The next prime is 930729749. The reversal of 930729744 is 447927039.

It is a self number, because there is not a number n which added to its sum of digits gives 930729744.

It is not an unprimeable number, because it can be changed into a prime (930729743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5573149 + ... + 5573315.

It is an arithmetic number, because the mean of its divisors is an integer number (10207680).

Almost surely, 2^930729744 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 930729744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633228800).

930729744 is an abundant number, since it is smaller than the sum of its proper divisors (2335727856).

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

930729744 is a wasteful number, since it uses less digits than its factorization.

930729744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 930729744 is about 30507.8636420186. The cubic root of 930729744 is about 976.3552466998.

The spelling of 930729744 in words is "nine hundred thirty million, seven hundred twenty-nine thousand, seven hundred forty-four".