248020480 has 160 divisors (see below), whose sum is σ = 649645920. Its totient is φ = 90439680.

The previous prime is 248020417. The next prime is 248020481. The reversal of 248020480 is 84020842.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248020481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784251 + ... + 1784389.

It is an arithmetic number, because the mean of its divisors is an integer number (4060287).

Almost surely, 2^248020480 is an apocalyptic number.

248020480 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 248020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324822960).

248020480 is an abundant number, since it is smaller than the sum of its proper divisors (401625440).

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

248020480 is a wasteful number, since it uses less digits than its factorization.

248020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 248020480 is about 15748.6659752501. The cubic root of 248020480 is about 628.2934244850.

The spelling of 248020480 in words is "two hundred forty-eight million, twenty thousand, four hundred eighty".