744648 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 221760.

The previous prime is 744641. The next prime is 744649. The reversal of 744648 is 846447.

744648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (744641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10453 + ... + 10523.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁷⁴⁴⁶⁴⁸ 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 744648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

744648 is an abundant number, since it is smaller than the sum of its proper divisors (1328952).

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

744648 is a wasteful number, since it uses less digits than its factorization.

744648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 744648 is about 862.9298928650. The cubic root of 744648 is about 90.6393973163.

The spelling of 744648 in words is "seven hundred forty-four thousand, six hundred forty-eight".