240213952 has 56 divisors (see below), whose sum is σ = 526401792. Its totient is φ = 107846400.

The previous prime is 240213917. The next prime is 240213959. The reversal of 240213952 is 259312042.

240213952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 240213952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240213959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56377 + ... + 60487.

It is an arithmetic number, because the mean of its divisors is an integer number (9400032).

Almost surely, 2^240213952 is an apocalyptic number.

240213952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263200896).

240213952 is an abundant number, since it is smaller than the sum of its proper divisors (286187840).

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

240213952 is a wasteful number, since it uses less digits than its factorization.

240213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 240213952 is about 15498.8371176679. The cubic root of 240213952 is about 621.6311126236.

Adding to 240213952 its reverse (259312042), we get a palindrome (499525994).

It can be divided in two parts, 240213 and 952, that added together give a triangular number (241165 = T₆₉₄).

The spelling of 240213952 in words is "two hundred forty million, two hundred thirteen thousand, nine hundred fifty-two".