744630480 has 240 divisors, whose sum is σ = 2750716800. Its totient is φ = 179020800.

The previous prime is 744630457. The next prime is 744630503. The reversal of 744630480 is 84036447.

It is an interprime number because it is at equal distance from previous prime (744630457) and next prime (744630503).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1179765 + ... + 1180395.

It is an arithmetic number, because the mean of its divisors is an integer number (11461320).

Almost surely, 2^744630480 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 744630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375358400).

744630480 is an abundant number, since it is smaller than the sum of its proper divisors (2006086320).

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

744630480 is a wasteful number, since it uses less digits than its factorization.

744630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 744630480 is about 27287.9182056822. The cubic root of 744630480 is about 906.3868645928.

The spelling of 744630480 in words is "seven hundred forty-four million, six hundred thirty thousand, four hundred eighty".