480640 has 32 divisors (see below), whose sum is σ = 1150560. Its totient is φ = 192000.

The previous prime is 480587. The next prime is 480647. The reversal of 480640 is 46084.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×480640³ = 333104874258432000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480647) by changing a digit.

480640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (35955).

2⁴⁸⁰⁶⁴⁰ is an apocalyptic number.

480640 is a gapful number since it is divisible by the number (40) 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 480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575280).

480640 is an abundant number, since it is smaller than the sum of its proper divisors (669920).

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

480640 is an equidigital number, since it uses as much as digits as its factorization.

480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 480640 is about 693.2820493854. The cubic root of 480640 is about 78.3321361922.

The spelling of 480640 in words is "four hundred eighty thousand, six hundred forty".