744513840 has 360 divisors, whose sum is σ = 2977041600. Its totient is φ = 166182912.

The previous prime is 744513799. The next prime is 744513871. The reversal of 744513840 is 48315447.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 744513795 and 744513804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1657936 + ... + 1658384.

It is an arithmetic number, because the mean of its divisors is an integer number (8269560).

Almost surely, 2^744513840 is an apocalyptic number.

744513840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488520800).

744513840 is an abundant number, since it is smaller than the sum of its proper divisors (2232527760).

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

744513840 is a wasteful number, since it uses less digits than its factorization.

744513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 744513840 is about 27285.7809124093. The cubic root of 744513840 is about 906.3395362032.

The spelling of 744513840 in words is "seven hundred forty-four million, five hundred thirteen thousand, eight hundred forty".