248024800 has 144 divisors (see below), whose sum is σ = 638209152. Its totient is φ = 94003200.

The previous prime is 248024783. The next prime is 248024807. The reversal of 248024800 is 8420842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248024807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1810332 + ... + 1810468.

It is an arithmetic number, because the mean of its divisors is an integer number (4432008).

Almost surely, 2^248024800 is an apocalyptic number.

248024800 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 248024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319104576).

248024800 is an abundant number, since it is smaller than the sum of its proper divisors (390184352).

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

248024800 is a wasteful number, since it uses less digits than its factorization.

248024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 248024800 is about 15748.8031291270. The cubic root of 248024800 is about 628.2970723179.

The spelling of 248024800 in words is "two hundred forty-eight million, twenty-four thousand, eight hundred".