248371200 has 648 divisors, whose sum is σ = 1128794940. Its totient is φ = 51609600.

The previous prime is 248371187. The next prime is 248371237. The reversal of 248371200 is 2173842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22579195 + ... + 22579205.

Almost surely, 2^248371200 is an apocalyptic number.

248371200 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 248371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564397470).

248371200 is an abundant number, since it is smaller than the sum of its proper divisors (880423740).

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

248371200 is a wasteful number, since it uses less digits than its factorization.

248371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 248371200 is about 15759.7969530067. The cubic root of 248371200 is about 628.5894367135.

The spelling of 248371200 in words is "two hundred forty-eight million, three hundred seventy-one thousand, two hundred".