248676480 has 448 divisors, whose sum is σ = 983306520. Its totient is φ = 59719680.

The previous prime is 248676431. The next prime is 248676487. The reversal of 248676480 is 84676842.

248676480 is a `hidden beast` number, since 24 + 86 + 76 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86266944 + 162409536 = 9288^2 + 12744^2 .

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 (248676487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065260 + ... + 6065300.

Almost surely, 2^248676480 is an apocalyptic number.

248676480 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 248676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491653260).

248676480 is an abundant number, since it is smaller than the sum of its proper divisors (734630040).

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

248676480 is an equidigital number, since it uses as much as digits as its factorization.

248676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 248676480 is about 15769.4793826556. The cubic root of 248676480 is about 628.8468702316.

The spelling of 248676480 in words is "two hundred forty-eight million, six hundred seventy-six thousand, four hundred eighty".