480740 has 36 divisors (see below), whose sum is σ = 1113084. Its totient is φ = 173376.

The previous prime is 480737. The next prime is 480749. The reversal of 480740 is 47084.

480740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 362404 = 344^2 + 602^2 .

It is a super-3 number, since 3×480740³ = 333312830847672000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

480740 is a modest number, since divided by 740 gives 480 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480740.

It is not an unprimeable number, because it can be changed into a prime (480749) 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 11 ways as a sum of consecutive naturals, for example, 11159 + ... + 11201.

It is an arithmetic number, because the mean of its divisors is an integer number (30919).

2⁴⁸⁰⁷⁴⁰ 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 480740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556542).

480740 is an abundant number, since it is smaller than the sum of its proper divisors (632344).

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

480740 is a wasteful number, since it uses less digits than its factorization.

480740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 480740 is about 693.3541663537. The cubic root of 480740 is about 78.3375683038.

Adding to 480740 its product of nonzero digits (896), we get a square (481636 = 694²).

The spelling of 480740 in words is "four hundred eighty thousand, seven hundred forty".