248731920 has 60 divisors (see below), whose sum is σ = 835327116. Its totient is φ = 66328320.

The previous prime is 248731897. The next prime is 248731921. The reversal of 248731920 is 29137842.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 220344336 = 5328^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248731921) 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 11 ways as a sum of consecutive naturals, for example, 172011 + ... + 173450.

Almost surely, 2^248731920 is an apocalyptic number.

248731920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248731920 is an abundant number, since it is smaller than the sum of its proper divisors (586595196).

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

248731920 is a wasteful number, since it uses less digits than its factorization.

248731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345480 (or 345471 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 248731920 is about 15771.2371106391. The cubic root of 248731920 is about 628.8935985215.

The spelling of 248731920 in words is "two hundred forty-eight million, seven hundred thirty-one thousand, nine hundred twenty".