240468480 has 480 divisors, whose sum is σ = 1007614080. Its totient is φ = 54190080.

The previous prime is 240468479. The next prime is 240468499. The reversal of 240468480 is 84864042.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386845 + ... + 3386915.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2^240468480 is an apocalyptic number.

240468480 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 240468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503807040).

240468480 is an abundant number, since it is smaller than the sum of its proper divisors (767145600).

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

240468480 is an equidigital number, since it uses as much as digits as its factorization.

240468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 240468480 is about 15507.0461403841. The cubic root of 240468480 is about 621.8505928991.

The spelling of 240468480 in words is "two hundred forty million, four hundred sixty-eight thousand, four hundred eighty".