252004000 has 72 divisors (see below), whose sum is σ = 621650484. Its totient is φ = 100400000.

The previous prime is 252003953. The next prime is 252004001. The reversal of 252004000 is 400252.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 170354704 + 81649296 = 13052^2 + 9036^2 .

It is not an unprimeable number, because it can be changed into a prime (252004001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1003875 + ... + 1004125.

Almost surely, 2^252004000 is an apocalyptic number.

252004000 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 252004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310825242).

252004000 is an abundant number, since it is smaller than the sum of its proper divisors (369646484).

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

252004000 is an frugal number, since it uses more digits than its factorization.

252004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 252004000 is about 15874.6338540453. The cubic root of 252004000 is about 631.6393017372.

Adding to 252004000 its reverse (400252), we get a palindrome (252404252).

The spelling of 252004000 in words is "two hundred fifty-two million, four thousand".