240480 has 72 divisors (see below), whose sum is σ = 825552. Its totient is φ = 63744.

The previous prime is 240479. The next prime is 240491. The reversal of 240480 is 84042.

It is a happy number.

240480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2²⁴⁰⁴⁸⁰ is an apocalyptic number.

240480 is a gapful number since it is divisible by the number (20) 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 240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776).

240480 is an abundant number, since it is smaller than the sum of its proper divisors (585072).

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

240480 is a wasteful number, since it uses less digits than its factorization.

240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

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

The square root of 240480 is about 490.3876018009. The cubic root of 240480 is about 62.1860522966.

The spelling of 240480 in words is "two hundred forty thousand, four hundred eighty".