252333024 has 48 divisors (see below), whose sum is σ = 678540240. Its totient is φ = 82058240.

The previous prime is 252333017. The next prime is 252333043. The reversal of 252333024 is 420333252.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 252332985 and 252333003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28119 + ... + 35990.

It is an arithmetic number, because the mean of its divisors is an integer number (14136255).

Almost surely, 2^252333024 is an apocalyptic number.

252333024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252333024 is an abundant number, since it is smaller than the sum of its proper divisors (426207216).

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

252333024 is a wasteful number, since it uses less digits than its factorization.

252333024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64163 (or 64155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 252333024 is about 15884.9936732754. The cubic root of 252333024 is about 631.9140779416.

Adding to 252333024 its reverse (420333252), we get a palindrome (672666276).

The spelling of 252333024 in words is "two hundred fifty-two million, three hundred thirty-three thousand, twenty-four".