252441024 has 224 divisors, whose sum is σ = 790041600. Its totient is φ = 70287360.

The previous prime is 252441023. The next prime is 252441037. The reversal of 252441024 is 420144252.

It is a happy number.

252441024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 252440985 and 252441003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252441023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2836372 + ... + 2836460.

Almost surely, 2^252441024 is an apocalyptic number.

252441024 is a gapful number since it is divisible by the number (24) 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 252441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

252441024 is an abundant number, since it is smaller than the sum of its proper divisors (537600576).

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

252441024 is a wasteful number, since it uses less digits than its factorization.

252441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 252441024 is about 15888.3927443905. The cubic root of 252441024 is about 632.0042193811.

Adding to 252441024 its reverse (420144252), we get a palindrome (672585276).

The spelling of 252441024 in words is "two hundred fifty-two million, four hundred forty-one thousand, twenty-four".