744312240 has 400 divisors, whose sum is σ = 3014003520. Its totient is φ = 166717440.

The previous prime is 744312221. The next prime is 744312287. The reversal of 744312240 is 42213447.

744312240 is a `hidden beast` number, since 7 + 4 + 431 + 224 + 0 = 666.

744312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×744312240² = 1108001421227635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2766826 + ... + 2767094.

Almost surely, 2^744312240 is an apocalyptic number.

744312240 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 744312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507001760).

744312240 is an abundant number, since it is smaller than the sum of its proper divisors (2269691280).

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

744312240 is a wasteful number, since it uses less digits than its factorization.

744312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 744312240 is about 27282.0864304767. The cubic root of 744312240 is about 906.2577223916.

Adding to 744312240 its reverse (42213447), we get a palindrome (786525687).

It can be divided in two parts, 7443 and 12240, that added together give a 9-th power (19683 = 3⁹).

The spelling of 744312240 in words is "seven hundred forty-four million, three hundred twelve thousand, two hundred forty".