253361808 has 120 divisors (see below), whose sum is σ = 853070400. Its totient is φ = 68573952.

The previous prime is 253361747. The next prime is 253361861. The reversal of 253361808 is 808163352.

253361808 is a `hidden beast` number, since 2 + 5 + 33 + 618 + 0 + 8 = 666.

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

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, 12538 + ... + 25766.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^253361808 is an apocalyptic number.

253361808 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 253361808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

253361808 is an abundant number, since it is smaller than the sum of its proper divisors (599708592).

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

253361808 is a wasteful number, since it uses less digits than its factorization.

253361808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13269 (or 13260 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 253361808 is about 15917.3429943568. The cubic root of 253361808 is about 632.7717032721.

The spelling of 253361808 in words is "two hundred fifty-three million, three hundred sixty-one thousand, eight hundred eight".