248904480 has 384 divisors, whose sum is σ = 940584960. Its totient is φ = 54640640.

The previous prime is 248904473. The next prime is 248904499. The reversal of 248904480 is 84409842.

248904480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4218691 + ... + 4218749.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^248904480 is an apocalyptic number.

248904480 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 248904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470292480).

248904480 is an abundant number, since it is smaller than the sum of its proper divisors (691680480).

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

248904480 is a wasteful number, since it uses less digits than its factorization.

248904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 248904480 is about 15776.7068807150. The cubic root of 248904480 is about 629.0389984271.

The spelling of 248904480 in words is "two hundred forty-eight million, nine hundred four thousand, four hundred eighty".