744522240 has 320 divisors, whose sum is σ = 2969809920. Its totient is φ = 154583040.

The previous prime is 744522227. The next prime is 744522241. The reversal of 744522240 is 42225447.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 744522198 and 744522207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744522241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590731 + ... + 591989.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2^744522240 is an apocalyptic number.

744522240 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 744522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

744522240 is an abundant number, since it is smaller than the sum of its proper divisors (2225287680).

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

744522240 is a wasteful number, since it uses less digits than its factorization.

744522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 744522240 is about 27285.9348383008. The cubic root of 744522240 is about 906.3429447915.

Adding to 744522240 its reverse (42225447), we get a palindrome (786747687).

The spelling of 744522240 in words is "seven hundred forty-four million, five hundred twenty-two thousand, two hundred forty".