480240 has 120 divisors (see below), whose sum is σ = 1740960. Its totient is φ = 118272.

The previous prime is 480209. The next prime is 480287. The reversal of 480240 is 42084.

It is a happy number.

480240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

480240 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 23 ways as a sum of consecutive naturals, for example, 16546 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2⁴⁸⁰²⁴⁰ is an apocalyptic number.

480240 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 480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480).

480240 is an abundant number, since it is smaller than the sum of its proper divisors (1260720).

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

480240 is a wasteful number, since it uses less digits than its factorization.

480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 480240 is about 692.9935064631. The cubic root of 480240 is about 78.3104002079.

The spelling of 480240 in words is "four hundred eighty thousand, two hundred forty".