248088480 has 96 divisors (see below), whose sum is σ = 827475264. Its totient is φ = 62263296.

The previous prime is 248088439. The next prime is 248088487. The reversal of 248088480 is 84880842.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (248088487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7042 + ... + 23361.

It is an arithmetic number, because the mean of its divisors is an integer number (8619534).

Almost surely, 2^248088480 is an apocalyptic number.

248088480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248088480 is an abundant number, since it is smaller than the sum of its proper divisors (579386784).

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

248088480 is a wasteful number, since it uses less digits than its factorization.

248088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30438 (or 30430 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 248088480 is about 15750.8247403112. The cubic root of 248088480 is about 628.3508391642.

The spelling of 248088480 in words is "two hundred forty-eight million, eighty-eight thousand, four hundred eighty".