253505600 has 168 divisors, whose sum is σ = 680313600. Its totient is φ = 92620800.

The previous prime is 253505533. The next prime is 253505621. The reversal of 253505600 is 6505352.

It is a self number, because there is not a number n which added to its sum of digits gives 253505600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942266 + ... + 942534.

Almost surely, 2^253505600 is an apocalyptic number.

253505600 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 253505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

253505600 is an abundant number, since it is smaller than the sum of its proper divisors (426808000).

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

253505600 is a wasteful number, since it uses less digits than its factorization.

253505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 253505600 is about 15921.8591879215. The cubic root of 253505600 is about 632.8913875844.

The spelling of 253505600 in words is "two hundred fifty-three million, five hundred five thousand, six hundred".