248808384 has 168 divisors, whose sum is σ = 787408128. Its totient is φ = 74488320.

The previous prime is 248808383. The next prime is 248808403. The reversal of 248808384 is 483808842.

It is a happy number.

248808384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248808384² = 123811223897382912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248808383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677769 + ... + 678135.

Almost surely, 2^248808384 is an apocalyptic number.

248808384 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 248808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393704064).

248808384 is an abundant number, since it is smaller than the sum of its proper divisors (538599744).

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

248808384 is a wasteful number, since it uses less digits than its factorization.

248808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 248808384 is about 15773.6610842252. The cubic root of 248808384 is about 628.9580357589.

The spelling of 248808384 in words is "two hundred forty-eight million, eight hundred eight thousand, three hundred eighty-four".