240374016 has 243 divisors, whose sum is σ = 777011781. Its totient is φ = 71442432.

The previous prime is 240374003. The next prime is 240374023. The reversal of 240374016 is 610473042.

The square root of 240374016 is 15504.

It is a perfect power (a square), and thus also a powerful number.

240374016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 53231616 = 13680^2 + 7296^2 .

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 26 ways as a sum of consecutive naturals, for example, 12651255 + ... + 12651273.

Almost surely, 2^240374016 is an apocalyptic number.

240374016 is the 15504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240374016

240374016 is an abundant number, since it is smaller than the sum of its proper divisors (536637765).

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

240374016 is a wasteful number, since it uses less digits than its factorization.

240374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 240374016 is about 621.7691543837.

The spelling of 240374016 in words is "two hundred forty million, three hundred seventy-four thousand, sixteen".