253200330 has 80 divisors (see below), whose sum is σ = 710481024. Its totient is φ = 64579680.

The previous prime is 253200317. The next prime is 253200331. The reversal of 253200330 is 33002352.

It is a super-2 number, since 2×253200330² = 128220814224217800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (253200331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11835 + ... + 25425.

Almost surely, 2^253200330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253200330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355240512).

253200330 is an abundant number, since it is smaller than the sum of its proper divisors (457280694).

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

253200330 is a wasteful number, since it uses less digits than its factorization.

253200330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 253200330 is about 15912.2697940929. The cubic root of 253200330 is about 632.6372441427.

Adding to 253200330 its reverse (33002352), we get a palindrome (286202682).

The spelling of 253200330 in words is "two hundred fifty-three million, two hundred thousand, three hundred thirty".