253060200 has 288 divisors, whose sum is σ = 909941760. Its totient is φ = 65318400.

The previous prime is 253060193. The next prime is 253060201. The reversal of 253060200 is 2060352.

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 (253060201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1992537 + ... + 1992663.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^253060200 is an apocalyptic number.

253060200 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 253060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

253060200 is an abundant number, since it is smaller than the sum of its proper divisors (656881560).

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

253060200 is a wasteful number, since it uses less digits than its factorization.

253060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 253060200 is about 15907.8659788169. The cubic root of 253060200 is about 632.5205146788.

The spelling of 253060200 in words is "two hundred fifty-three million, sixty thousand, two hundred".