253711104 has 72 divisors (see below), whose sum is σ = 710821440. Its totient is φ = 80114688.

The previous prime is 253711079. The next prime is 253711121. The reversal of 253711104 is 401117352.

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

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 7 ways as a sum of consecutive naturals, for example, 5899 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (9872520).

Almost surely, 2^253711104 is an apocalyptic number.

253711104 is a gapful number since it is divisible by the number (24) 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 253711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355410720).

253711104 is an abundant number, since it is smaller than the sum of its proper divisors (457110336).

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

253711104 is a wasteful number, since it uses less digits than its factorization.

253711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425 (or 17411 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 253711104 is about 15928.3113982619. The cubic root of 253711104 is about 633.0623589328.

Adding to 253711104 its reverse (401117352), we get a palindrome (654828456).

The spelling of 253711104 in words is "two hundred fifty-three million, seven hundred eleven thousand, one hundred four".