744828480 has 448 divisors, whose sum is σ = 3041660160. Its totient is φ = 169574400.

The previous prime is 744828479. The next prime is 744828503. The reversal of 744828480 is 84828447.

It is a happy number.

It is a super-2 number, since 2×744828480² = 1109538929238220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615450 + ... + 1615910.

It is an arithmetic number, because the mean of its divisors is an integer number (6789420).

Almost surely, 2^744828480 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 744828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520830080).

744828480 is an abundant number, since it is smaller than the sum of its proper divisors (2296831680).

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

744828480 is a wasteful number, since it uses less digits than its factorization.

744828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 744828480 is about 27291.5459437534. The cubic root of 744828480 is about 906.4671946803.

The spelling of 744828480 in words is "seven hundred forty-four million, eight hundred twenty-eight thousand, four hundred eighty".