248835132 has 144 divisors (see below), whose sum is σ = 808405920. Its totient is φ = 65608704.

The previous prime is 248835121. The next prime is 248835133. The reversal of 248835132 is 231538842.

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 (248835133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66988 + ... + 70604.

It is an arithmetic number, because the mean of its divisors is an integer number (5613930).

Almost surely, 2^248835132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248835132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404202960).

248835132 is an abundant number, since it is smaller than the sum of its proper divisors (559570788).

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

248835132 is a wasteful number, since it uses less digits than its factorization.

248835132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3642 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 248835132 is about 15774.5089305499. The cubic root of 248835132 is about 628.9805735401.

The spelling of 248835132 in words is "two hundred forty-eight million, eight hundred thirty-five thousand, one hundred thirty-two".