745847424 has 288 divisors, whose sum is σ = 2544845940. Its totient is φ = 209018880.

The previous prime is 745847419. The next prime is 745847447. The reversal of 745847424 is 424748547.

It can be written as a sum of positive squares in 2 ways, for example, as 678081600 + 67765824 = 26040^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 745847424.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4120614 + ... + 4120794.

Almost surely, 2^745847424 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 745847424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272422970).

745847424 is an abundant number, since it is smaller than the sum of its proper divisors (1798998516).

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

745847424 is a wasteful number, since it uses less digits than its factorization.

745847424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 45.

The square root of 745847424 is about 27310.2073225378. The cubic root of 745847424 is about 906.8803629316.

The spelling of 745847424 in words is "seven hundred forty-five million, eight hundred forty-seven thousand, four hundred twenty-four".