252240000 has 160 divisors (see below), whose sum is σ = 838044240. Its totient is φ = 67200000.

The previous prime is 252239987. The next prime is 252240007. The reversal of 252240000 is 42252.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (252240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239475 + ... + 240525.

Almost surely, 2^252240000 is an apocalyptic number.

252240000 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 252240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419022120).

252240000 is an abundant number, since it is smaller than the sum of its proper divisors (585804240).

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

252240000 is an equidigital number, since it uses as much as digits as its factorization.

252240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 252240000 is about 15882.0653568735. The cubic root of 252240000 is about 631.8364154947.

Adding to 252240000 its reverse (42252), we get a palindrome (252282252).

The spelling of 252240000 in words is "two hundred fifty-two million, two hundred forty thousand".