240288480 has 72 divisors (see below), whose sum is σ = 819989352. Its totient is φ = 64076544.

The previous prime is 240288463. The next prime is 240288527. The reversal of 240288480 is 84882042.

240288480 is digitally balanced in base 3, because in such base 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 (36).

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 81994 + ... + 84873.

It is an arithmetic number, because the mean of its divisors is an integer number (11388741).

Almost surely, 2^240288480 is an apocalyptic number.

240288480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240288480 is an abundant number, since it is smaller than the sum of its proper divisors (579700872).

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

240288480 is a wasteful number, since it uses less digits than its factorization.

240288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166888 (or 166877 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 240288480 is about 15501.2412406233. The cubic root of 240288480 is about 621.6953943923.

The spelling of 240288480 in words is "two hundred forty million, two hundred eighty-eight thousand, four hundred eighty".