240576384 has 128 divisors (see below), whose sum is σ = 684093600. Its totient is φ = 74645504.

The previous prime is 240576377. The next prime is 240576419. The reversal of 240576384 is 483675042.

It is a happy number.

240576384 is digitally balanced in base 2, 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 (128).

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, 894202 + ... + 894470.

Almost surely, 2^240576384 is an apocalyptic number.

240576384 is a gapful number since it is divisible by the number (24) 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 240576384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342046800).

240576384 is an abundant number, since it is smaller than the sum of its proper divisors (443517216).

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

240576384 is a wasteful number, since it uses less digits than its factorization.

240576384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 240576384 is about 15510.5249427606. The cubic root of 240576384 is about 621.9435921041.

The spelling of 240576384 in words is "two hundred forty million, five hundred seventy-six thousand, three hundred eighty-four".