749617440 has 384 divisors, whose sum is σ = 2832786432. Its totient is φ = 164229120.

The previous prime is 749617439. The next prime is 749617441. The reversal of 749617440 is 44716947.

It is an interprime number because it is at equal distance from previous prime (749617439) and next prime (749617441).

It is a junction number, because it is equal to n+sod(n) for n = 749617392 and 749617401.

It is not an unprimeable number, because it can be changed into a prime (749617441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4598799 + ... + 4598961.

It is an arithmetic number, because the mean of its divisors is an integer number (7377048).

Almost surely, 2^749617440 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 749617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416393216).

749617440 is an abundant number, since it is smaller than the sum of its proper divisors (2083168992).

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

749617440 is a wasteful number, since it uses less digits than its factorization.

749617440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 749617440 is about 27379.1424263069. The cubic root of 749617440 is about 908.4057906643.

It can be divided in two parts, 749617 and 440, that added together give a palindrome (750057).

The spelling of 749617440 in words is "seven hundred forty-nine million, six hundred seventeen thousand, four hundred forty".