240905952 has 216 divisors, whose sum is σ = 817512696. Its totient is φ = 67060224.

The previous prime is 240905941. The next prime is 240905953. The reversal of 240905952 is 259509042.

It is a happy number.

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 (240905953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606618 + ... + 607014.

It is an arithmetic number, because the mean of its divisors is an integer number (3784781).

Almost surely, 2^240905952 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 240905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408756348).

240905952 is an abundant number, since it is smaller than the sum of its proper divisors (576606744).

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

240905952 is a wasteful number, since it uses less digits than its factorization.

240905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 240905952 is about 15521.1453185646. The cubic root of 240905952 is about 622.2274647706.

The spelling of 240905952 in words is "two hundred forty million, nine hundred five thousand, nine hundred fifty-two".