252144640 has 176 divisors, whose sum is σ = 683272224. Its totient is φ = 89210880.

The previous prime is 252144637. The next prime is 252144661. The reversal of 252144640 is 46441252.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 252144599 and 252144608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6814702 + ... + 6814738.

Almost surely, 2^252144640 is an apocalyptic number.

252144640 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 252144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341636112).

252144640 is an abundant number, since it is smaller than the sum of its proper divisors (431127584).

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

252144640 is an equidigital number, since it uses as much as digits as its factorization.

252144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 252144640 is about 15879.0629446451. The cubic root of 252144640 is about 631.7567829820.

Adding to 252144640 its reverse (46441252), we get a palindrome (298585892).

The spelling of 252144640 in words is "two hundred fifty-two million, one hundred forty-four thousand, six hundred forty".