252504600 has 96 divisors (see below), whose sum is σ = 801049920. Its totient is φ = 65761920.

The previous prime is 252504589. The next prime is 252504683. The reversal of 252504600 is 6405252.

252504600 is digitally balanced in base 3, 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 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 23 ways as a sum of consecutive naturals, for example, 20907 + ... + 30693.

It is an arithmetic number, because the mean of its divisors is an integer number (8344270).

Almost surely, 2^252504600 is an apocalyptic number.

252504600 is a gapful number since it is divisible by the number (20) 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 252504600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400524960).

252504600 is an abundant number, since it is smaller than the sum of its proper divisors (548545320).

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

252504600 is a wasteful number, since it uses less digits than its factorization.

252504600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 252504600 is about 15890.3933242699. The cubic root of 252504600 is about 632.0572706206.

Adding to 252504600 its reverse (6405252), we get a palindrome (258909852).

The spelling of 252504600 in words is "two hundred fifty-two million, five hundred four thousand, six hundred".