744332040 has 192 divisors, whose sum is σ = 2500243200. Its totient is φ = 191923200.

The previous prime is 744332027. The next prime is 744332047. The reversal of 744332040 is 40233447.

It is a junction number, because it is equal to n+sod(n) for n = 744331995 and 744332013.

It is not an unprimeable number, because it can be changed into a prime (744332047) 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, 3114241 + ... + 3114479.

It is an arithmetic number, because the mean of its divisors is an integer number (13022100).

Almost surely, 2^744332040 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 744332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250121600).

744332040 is an abundant number, since it is smaller than the sum of its proper divisors (1755911160).

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

744332040 is a wasteful number, since it uses less digits than its factorization.

744332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 744332040 is about 27282.4493035358. The cubic root of 744332040 is about 906.2657583308.

Adding to 744332040 its reverse (40233447), we get a palindrome (784565487).

The spelling of 744332040 in words is "seven hundred forty-four million, three hundred thirty-two thousand, forty".