248503680 has 256 divisors, whose sum is σ = 896702400. Its totient is φ = 65028096.

The previous prime is 248503669. The next prime is 248503699. The reversal of 248503680 is 86305842.

248503680 is a `hidden beast` number, since 248 + 50 + 368 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261342 + ... + 1261538.

Almost surely, 2^248503680 is an apocalyptic number.

248503680 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 248503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448351200).

248503680 is an abundant number, since it is smaller than the sum of its proper divisors (648198720).

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

248503680 is a wasteful number, since it uses less digits than its factorization.

248503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248503680 is about 15763.9994925146. Note that the first 3 decimals coincide. The cubic root of 248503680 is about 628.7011790394.

The spelling of 248503680 in words is "two hundred forty-eight million, five hundred three thousand, six hundred eighty".