240195312 has 240 divisors, whose sum is σ = 827304192. Its totient is φ = 63498240.

The previous prime is 240195257. The next prime is 240195317. The reversal of 240195312 is 213591042.

It is a super-3 number, since 3×240195312³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240195317) 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, 1833487 + ... + 1833617.

Almost surely, 2^240195312 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 240195312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413652096).

240195312 is an abundant number, since it is smaller than the sum of its proper divisors (587108880).

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

240195312 is a wasteful number, since it uses less digits than its factorization.

240195312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 240195312 is about 15498.2357705643. The cubic root of 240195312 is about 621.6150332028.

The spelling of 240195312 in words is "two hundred forty million, one hundred ninety-five thousand, three hundred twelve".