253735200 has 288 divisors, whose sum is σ = 973062720. Its totient is φ = 63590400.

The previous prime is 253735169. The next prime is 253735201. The reversal of 253735200 is 2537352.

253735200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253735201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366855 + ... + 367545.

It is an arithmetic number, because the mean of its divisors is an integer number (3378690).

Almost surely, 2^253735200 is an apocalyptic number.

253735200 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 253735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486531360).

253735200 is an abundant number, since it is smaller than the sum of its proper divisors (719327520).

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

253735200 is a wasteful number, since it uses less digits than its factorization.

253735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 253735200 is about 15929.0677693329. The cubic root of 253735200 is about 633.0823998211.

Multiplying 253735200 by its reverse (2537352), we get a square (643815517190400 = 25373520²).

253735200 divided by its reverse (2537352) gives a square (100 = 10²).

The spelling of 253735200 in words is "two hundred fifty-three million, seven hundred thirty-five thousand, two hundred".