248047600 has 60 divisors (see below), whose sum is σ = 597472920. Its totient is φ = 98963200.

The previous prime is 248047559. The next prime is 248047619. The reversal of 248047600 is 6740842.

248047600 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×248047600² = 123055223731520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263130 + ... + 264070.

It is an arithmetic number, because the mean of its divisors is an integer number (9957882).

Almost surely, 2^248047600 is an apocalyptic number.

248047600 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 248047600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298736460).

248047600 is an abundant number, since it is smaller than the sum of its proper divisors (349425320).

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

248047600 is a wasteful number, since it uses less digits than its factorization.

248047600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 248047600 is about 15749.5269770238. The cubic root of 248047600 is about 628.3163240679.

The spelling of 248047600 in words is "two hundred forty-eight million, forty-seven thousand, six hundred".