744352140 has 288 divisors, whose sum is σ = 2624819904. Its totient is φ = 156549120.

The previous prime is 744352139. The next prime is 744352153. The reversal of 744352140 is 41253447.

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 = 744352098 and 744352107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2648800 + ... + 2649080.

It is an arithmetic number, because the mean of its divisors is an integer number (9113958).

Almost surely, 2^744352140 is an apocalyptic number.

744352140 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 744352140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312409952).

744352140 is an abundant number, since it is smaller than the sum of its proper divisors (1880467764).

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

744352140 is a wasteful number, since it uses less digits than its factorization.

744352140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 744352140 is about 27282.8176697349. The cubic root of 744352140 is about 906.2739158809.

The spelling of 744352140 in words is "seven hundred forty-four million, three hundred fifty-two thousand, one hundred forty".