745165440 has 256 divisors, whose sum is σ = 2731968000. Its totient is φ = 191729664.

The previous prime is 745165439. The next prime is 745165513. The reversal of 745165440 is 44561547.

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

It is a junction number, because it is equal to n+sod(n) for n = 745165395 and 745165404.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 500377 + ... + 501863.

It is an arithmetic number, because the mean of its divisors is an integer number (10671750).

Almost surely, 2^745165440 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 745165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365984000).

745165440 is an abundant number, since it is smaller than the sum of its proper divisors (1986802560).

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

745165440 is a wasteful number, since it uses less digits than its factorization.

745165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 745165440 is about 27297.7185859918. The cubic root of 745165440 is about 906.6038691608.

The spelling of 745165440 in words is "seven hundred forty-five million, one hundred sixty-five thousand, four hundred forty".