240132384 has 96 divisors (see below), whose sum is σ = 703080000. Its totient is φ = 79736832.

The previous prime is 240132379. The next prime is 240132391. The reversal of 240132384 is 483231042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 387627 + ... + 388245.

It is an arithmetic number, because the mean of its divisors is an integer number (7323750).

Almost surely, 2^240132384 is an apocalyptic number.

240132384 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 240132384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540000).

240132384 is an abundant number, since it is smaller than the sum of its proper divisors (462947616).

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

240132384 is a wasteful number, since it uses less digits than its factorization.

240132384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 240132384 is about 15496.2054710177. The cubic root of 240132384 is about 621.5607434847.

The spelling of 240132384 in words is "two hundred forty million, one hundred thirty-two thousand, three hundred eighty-four".