744108480 has 168 divisors, whose sum is σ = 2628973152. Its totient is φ = 193038336.

The previous prime is 744108461. The next prime is 744108481. The reversal of 744108480 is 84801447.

It is a happy number.

744108480 is a `hidden beast` number, since 74 + 4 + 108 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744108481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103069 + ... + 110051.

Almost surely, 2^744108480 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 744108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314486576).

744108480 is an abundant number, since it is smaller than the sum of its proper divisors (1884864672).

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

744108480 is a wasteful number, since it uses less digits than its factorization.

744108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 744108480 is about 27278.3518563714. The cubic root of 744108480 is about 906.1750169907.

The spelling of 744108480 in words is "seven hundred forty-four million, one hundred eight thousand, four hundred eighty".