248263488 has 224 divisors, whose sum is σ = 820033920. Its totient is φ = 72990720.

The previous prime is 248263439. The next prime is 248263489. The reversal of 248263488 is 884362842.

248263488 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 634 + 8 + 8 = 666.

It is a super-2 number, since 2×248263488² = 123269518947852288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248263489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703120 + ... + 703472.

Almost surely, 2^248263488 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 248263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410016960).

248263488 is an abundant number, since it is smaller than the sum of its proper divisors (571770432).

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

248263488 is a wasteful number, since it uses less digits than its factorization.

248263488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 248263488 is about 15756.3792795172. The cubic root of 248263488 is about 628.4985560541.

The spelling of 248263488 in words is "two hundred forty-eight million, two hundred sixty-three thousand, four hundred eighty-eight".