240538144 has 96 divisors (see below), whose sum is σ = 605066112. Its totient is φ = 91392000.

The previous prime is 240538099. The next prime is 240538159. The reversal of 240538144 is 441835042.

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 15 ways as a sum of consecutive naturals, for example, 99834 + ... + 102214.

It is an arithmetic number, because the mean of its divisors is an integer number (6302772).

Almost surely, 2^240538144 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 240538144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302533056).

240538144 is an abundant number, since it is smaller than the sum of its proper divisors (364527968).

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

240538144 is a wasteful number, since it uses less digits than its factorization.

240538144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 240538144 is about 15509.2921824305. The cubic root of 240538144 is about 621.9106373826.

The spelling of 240538144 in words is "two hundred forty million, five hundred thirty-eight thousand, one hundred forty-four".