240125952 has 288 divisors, whose sum is σ = 784274400. Its totient is φ = 64880640.

The previous prime is 240125947. The next prime is 240125953. The reversal of 240125952 is 259521042.

It is not an unprimeable number, because it can be changed into a prime (240125953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12638199 + ... + 12638217.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^240125952 is an apocalyptic number.

240125952 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 240125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

240125952 is an abundant number, since it is smaller than the sum of its proper divisors (544148448).

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

240125952 is a wasteful number, since it uses less digits than its factorization.

240125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 240125952 is about 15495.9979349508. The cubic root of 240125952 is about 621.5551938870. Note that the first 3 decimals are identical.

Adding to 240125952 its reverse (259521042), we get a palindrome (499646994).

The spelling of 240125952 in words is "two hundred forty million, one hundred twenty-five thousand, nine hundred fifty-two".