748344960 has 512 divisors, whose sum is σ = 3008102400. Its totient is φ = 174182400.

The previous prime is 748344937. The next prime is 748344983. The reversal of 748344960 is 69443847.

748344960 is a `hidden beast` number, since 74 + 83 + 449 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (748344937) and next prime (748344983).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5892417 + ... + 5892543.

It is an arithmetic number, because the mean of its divisors is an integer number (5875200).

Almost surely, 2^748344960 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 748344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504051200).

748344960 is an abundant number, since it is smaller than the sum of its proper divisors (2259757440).

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

748344960 is a wasteful number, since it uses less digits than its factorization.

748344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

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

The square root of 748344960 is about 27355.8944288064. The cubic root of 748344960 is about 907.8914914937.

The spelling of 748344960 in words is "seven hundred forty-eight million, three hundred forty-four thousand, nine hundred sixty".