253963200 has 168 divisors, whose sum is σ = 841006192. Its totient is φ = 67092480.

The previous prime is 253963183. The next prime is 253963201. The reversal of 253963200 is 2369352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253963201) 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 23 ways as a sum of consecutive naturals, for example, 753432 + ... + 753768.

Almost surely, 2^253963200 is an apocalyptic number.

253963200 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 253963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420503096).

253963200 is an abundant number, since it is smaller than the sum of its proper divisors (587042992).

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

253963200 is a wasteful number, since it uses less digits than its factorization.

253963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 253963200 is about 15936.2228900075. Note that the first 3 decimals coincide. The cubic root of 253963200 is about 633.2719669689.

The spelling of 253963200 in words is "two hundred fifty-three million, nine hundred sixty-three thousand, two hundred".