745921440 has 288 divisors, whose sum is σ = 2871650880. Its totient is φ = 180702720.

The previous prime is 745921439. The next prime is 745921447. The reversal of 745921440 is 44129547.

It is a happy number.

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

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 = 745921395 and 745921404.

It is not an unprimeable number, because it can be changed into a prime (745921447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522007 + ... + 523433.

It is an arithmetic number, because the mean of its divisors is an integer number (9971010).

Almost surely, 2^745921440 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 745921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435825440).

745921440 is an abundant number, since it is smaller than the sum of its proper divisors (2125729440).

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

745921440 is a wasteful number, since it uses less digits than its factorization.

745921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 745921440 is about 27311.5623866523. The cubic root of 745921440 is about 906.9103607723.

The spelling of 745921440 in words is "seven hundred forty-five million, nine hundred twenty-one thousand, four hundred forty".