248641824 has 192 divisors, whose sum is σ = 723824640. Its totient is φ = 74511360.

The previous prime is 248641801. The next prime is 248641837. The reversal of 248641824 is 428146842.

248641824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 3711039 + ... + 3711105.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2^248641824 is an apocalyptic number.

248641824 is a gapful number since it is divisible by the number (24) 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 248641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361912320).

248641824 is an abundant number, since it is smaller than the sum of its proper divisors (475182816).

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

248641824 is a wasteful number, since it uses less digits than its factorization.

248641824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 248641824 is about 15768.3805129125. The cubic root of 248641824 is about 628.8176564654.

The spelling of 248641824 in words is "two hundred forty-eight million, six hundred forty-one thousand, eight hundred twenty-four".