253435200 has 168 divisors, whose sum is σ = 854549472. Its totient is φ = 65710080.

The previous prime is 253435141. The next prime is 253435289. The reversal of 253435200 is 2534352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 176887 + ... + 178313.

It is an arithmetic number, because the mean of its divisors is an integer number (5086604).

Almost surely, 2^253435200 is an apocalyptic number.

253435200 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 253435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427274736).

253435200 is an abundant number, since it is smaller than the sum of its proper divisors (601114272).

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

253435200 is a wasteful number, since it uses less digits than its factorization.

253435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 253435200 is about 15919.6482373198. The cubic root of 253435200 is about 632.8327962702.

Adding to 253435200 its reverse (2534352), we get a palindrome (255969552).

Multiplying 253435200 by its reverse (2534352), we get a square (642294005990400 = 25343520²).

253435200 divided by its reverse (2534352) gives a square (100 = 10²).

The spelling of 253435200 in words is "two hundred fifty-three million, four hundred thirty-five thousand, two hundred".