248611104 has 216 divisors, whose sum is σ = 836559360. Its totient is φ = 69818112.

The previous prime is 248611061. The next prime is 248611109. The reversal of 248611104 is 401116842.

It is a happy number.

248611104 is a `hidden beast` number, since 2 + 48 + 611 + 1 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248611109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1114737 + ... + 1114959.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2^248611104 is an apocalyptic number.

248611104 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 248611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

248611104 is an abundant number, since it is smaller than the sum of its proper divisors (587948256).

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

248611104 is a wasteful number, since it uses less digits than its factorization.

248611104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 248611104 is about 15767.4063815201. The cubic root of 248611104 is about 628.7917583365.

Adding to 248611104 its reverse (401116842), we get a palindrome (649727946).

The spelling of 248611104 in words is "two hundred forty-eight million, six hundred eleven thousand, one hundred four".