248935680 has 450 divisors, whose sum is σ = 1039131786. Its totient is φ = 56899584.

The previous prime is 248935679. The next prime is 248935697. The reversal of 248935680 is 86539842.

248935680 is a `hidden beast` number, since 2 + 4 + 89 + 3 + 568 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 49787136 = 14112^2 + 7056^2 .

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

It is a congruent number.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 35562237 + ... + 35562243.

Almost surely, 2^248935680 is an apocalyptic number.

248935680 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 248935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519565893).

248935680 is an abundant number, since it is smaller than the sum of its proper divisors (790196106).

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

248935680 is an frugal number, since it uses more digits than its factorization.

248935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 248935680 is about 15777.6956492385. The cubic root of 248935680 is about 629.0652805264.

Multiplying 248935680 by its sum of digits (45), we get a square (11202105600 = 105840²).

248935680 divided by its sum of digits (45) gives a square (5531904 = 2352²).

Multiplying 248935680 by its product of nonzero digits (414720), we get a square (103238605209600 = 10160640²).

The spelling of 248935680 in words is "two hundred forty-eight million, nine hundred thirty-five thousand, six hundred eighty".