241265952 has 288 divisors, whose sum is σ = 792529920. Its totient is φ = 71850240.

The previous prime is 241265939. The next prime is 241265957. The reversal of 241265952 is 259562142.

241265952 is a `hidden beast` number, since 2 + 41 + 26 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241265957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3398077 + ... + 3398147.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^241265952 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 241265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

241265952 is an abundant number, since it is smaller than the sum of its proper divisors (551263968).

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

241265952 is a wasteful number, since it uses less digits than its factorization.

241265952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 241265952 is about 15532.7380715700. The cubic root of 241265952 is about 622.5372542663.

The spelling of 241265952 in words is "two hundred forty-one million, two hundred sixty-five thousand, nine hundred fifty-two".