748972224 has 448 divisors, whose sum is σ = 2963143680. Its totient is φ = 179159040.

The previous prime is 748972223. The next prime is 748972261. The reversal of 748972224 is 422279847.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 748972224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748972223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729512 + ... + 1729944.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2^748972224 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 748972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481571840).

748972224 is an abundant number, since it is smaller than the sum of its proper divisors (2214171456).

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

748972224 is a wasteful number, since it uses less digits than its factorization.

748972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 748972224 is about 27367.3569056276. The cubic root of 748972224 is about 908.1450860425.

The spelling of 748972224 in words is "seven hundred forty-eight million, nine hundred seventy-two thousand, two hundred twenty-four".