240984432 has 240 divisors, whose sum is σ = 788074560. Its totient is φ = 68124672.

The previous prime is 240984431. The next prime is 240984451. The reversal of 240984432 is 234489042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240984431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248528 + ... + 1248720.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 2^240984432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240984432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394037280).

240984432 is an abundant number, since it is smaller than the sum of its proper divisors (547090128).

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

240984432 is a wasteful number, since it uses less digits than its factorization.

240984432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 240984432 is about 15523.6732766443. The cubic root of 240984432 is about 622.2950251737.

The spelling of 240984432 in words is "two hundred forty million, nine hundred eighty-four thousand, four hundred thirty-two".