248390880 has 48 divisors (see below), whose sum is σ = 782432784. Its totient is φ = 66237440.

The previous prime is 248390861. The next prime is 248390881. The reversal of 248390880 is 88093842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248390881) 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 7 ways as a sum of consecutive naturals, for example, 258261 + ... + 259220.

It is an arithmetic number, because the mean of its divisors is an integer number (16300683).

Almost surely, 2^248390880 is an apocalyptic number.

248390880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248390880 is an abundant number, since it is smaller than the sum of its proper divisors (534041904).

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

248390880 is a wasteful number, since it uses less digits than its factorization.

248390880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517499 (or 517491 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 248390880 is about 15760.4213141654. The cubic root of 248390880 is about 628.6060386295.

The spelling of 248390880 in words is "two hundred forty-eight million, three hundred ninety thousand, eight hundred eighty".