240084480 has 160 divisors (see below), whose sum is σ = 786449664. Its totient is φ = 62447616.

The previous prime is 240084469. The next prime is 240084499. The reversal of 240084480 is 84480042.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329877 + ... + 330603.

Almost surely, 2^240084480 is an apocalyptic number.

240084480 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 240084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832).

240084480 is an abundant number, since it is smaller than the sum of its proper divisors (546365184).

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

240084480 is an equidigital number, since it uses as much as digits as its factorization.

240084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 240084480 is about 15494.6597252086. The cubic root of 240084480 is about 621.5194090264.

The spelling of 240084480 in words is "two hundred forty million, eighty-four thousand, four hundred eighty".