253235808 has 240 divisors, whose sum is σ = 902319264. Its totient is φ = 68014080.

The previous prime is 253235797. The next prime is 253235809. The reversal of 253235808 is 808532352.

253235808 is a `hidden beast` number, since 2 + 53 + 23 + 580 + 8 = 666.

253235808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253235809) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308038 + ... + 308858.

Almost surely, 2^253235808 is an apocalyptic number.

253235808 is a gapful number since it is divisible by the number (28) 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 253235808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451159632).

253235808 is an abundant number, since it is smaller than the sum of its proper divisors (649083456).

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

253235808 is a wasteful number, since it uses less digits than its factorization.

253235808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 253235808 is about 15913.3845551473. The cubic root of 253235808 is about 632.6667907813. Note that the first 3 decimals are identical.

The spelling of 253235808 in words is "two hundred fifty-three million, two hundred thirty-five thousand, eight hundred eight".