248829600 has 144 divisors (see below), whose sum is σ = 815572800. Its totient is φ = 65894400.

The previous prime is 248829593. The next prime is 248829631. The reversal of 248829600 is 6928842.

248829600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477340 + ... + 477860.

It is an arithmetic number, because the mean of its divisors is an integer number (5663700).

Almost surely, 2^248829600 is an apocalyptic number.

248829600 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 248829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407786400).

248829600 is an abundant number, since it is smaller than the sum of its proper divisors (566743200).

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

248829600 is a wasteful number, since it uses less digits than its factorization.

248829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 248829600 is about 15774.3335833879. Note that the first 3 decimals coincide. The cubic root of 248829600 is about 628.9759124266.

The spelling of 248829600 in words is "two hundred forty-eight million, eight hundred twenty-nine thousand, six hundred".