480744 has 48 divisors (see below), whose sum is σ = 1422720. Its totient is φ = 145440.

The previous prime is 480737. The next prime is 480749. The reversal of 480744 is 447084.

It is a super-3 number, since 3×480744³ = 333321150911012352, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (480749) by changing a digit.

480744 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 489 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (29640).

2⁴⁸⁰⁷⁴⁴ is an apocalyptic number.

480744 is a gapful number since it is divisible by the number (44) 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 480744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711360).

480744 is an abundant number, since it is smaller than the sum of its proper divisors (941976).

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

480744 is a wasteful number, since it uses less digits than its factorization.

480744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 480744 is about 693.3570508764. The cubic root of 480744 is about 78.3377855726.

It can be divided in two parts, 4807 and 44, that added together give a triangular number (4851 = T₉₈).

The spelling of 480744 in words is "four hundred eighty thousand, seven hundred forty-four".