248938480 has 160 divisors (see below), whose sum is σ = 711383040. Its totient is φ = 79073280.

The previous prime is 248938441. The next prime is 248938507. The reversal of 248938480 is 84839842.

It is a self number, because there is not a number n which added to its sum of digits gives 248938480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751915 + ... + 752245.

It is an arithmetic number, because the mean of its divisors is an integer number (4446144).

Almost surely, 2^248938480 is an apocalyptic number.

248938480 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 248938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355691520).

248938480 is an abundant number, since it is smaller than the sum of its proper divisors (462444560).

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

248938480 is a wasteful number, since it uses less digits than its factorization.

248938480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 248938480 is about 15777.7843818453. The cubic root of 248938480 is about 629.0676390689.

The spelling of 248938480 in words is "two hundred forty-eight million, nine hundred thirty-eight thousand, four hundred eighty".