248944680 has 96 divisors (see below), whose sum is σ = 817525800. Its totient is φ = 65691648.

The previous prime is 248944679. The next prime is 248944687. The reversal of 248944680 is 86449842.

It can be written as a sum of positive squares in 4 ways, for example, as 207187236 + 41757444 = 14394^2 + 6462^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (248944687) 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 23 ways as a sum of consecutive naturals, for example, 31356 + ... + 38484.

Almost surely, 2^248944680 is an apocalyptic number.

248944680 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 248944680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408762900).

248944680 is an abundant number, since it is smaller than the sum of its proper divisors (568581120).

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

248944680 is a wasteful number, since it uses less digits than its factorization.

248944680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248944680 is about 15777.9808594129. The cubic root of 248944680 is about 629.0728614930.

The spelling of 248944680 in words is "two hundred forty-eight million, nine hundred forty-four thousand, six hundred eighty".