248581984 has 96 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 102187008.

The previous prime is 248581969. The next prime is 248581987. The reversal of 248581984 is 489185842.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (737280) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248581987) 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, 737464 + ... + 737800.

It is an arithmetic number, because the mean of its divisors is an integer number (6068790).

Almost surely, 2^248581984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

248581984 is an abundant number, since it is smaller than the sum of its proper divisors (334021856).

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

248581984 is a wasteful number, since it uses less digits than its factorization.

248581984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 737280, while the sum is 49.

The square root of 248581984 is about 15766.4829305714. The cubic root of 248581984 is about 628.7672070988.

The spelling of 248581984 in words is "two hundred forty-eight million, five hundred eighty-one thousand, nine hundred eighty-four".