248308480 has 216 divisors, whose sum is σ = 717223248. Its totient is φ = 82059264.

The previous prime is 248308451. The next prime is 248308561. The reversal of 248308480 is 84803842.

248308480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320587 + ... + 2320693.

It is an arithmetic number, because the mean of its divisors is an integer number (3320478).

Almost surely, 2^248308480 is an apocalyptic number.

248308480 is a gapful number since it is divisible by the number (20) 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 248308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358611624).

248308480 is an abundant number, since it is smaller than the sum of its proper divisors (468914768).

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

248308480 is a wasteful number, since it uses less digits than its factorization.

248308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 248308480 is about 15757.8069540149. The cubic root of 248308480 is about 628.5365206903.

The spelling of 248308480 in words is "two hundred forty-eight million, three hundred eight thousand, four hundred eighty".