248074200 has 432 divisors, whose sum is σ = 984077640. Its totient is φ = 55756800.

The previous prime is 248074163. The next prime is 248074201. The reversal of 248074200 is 2470842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248074201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3702567 + ... + 3702633.

Almost surely, 2^248074200 is an apocalyptic number.

248074200 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 248074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492038820).

248074200 is an abundant number, since it is smaller than the sum of its proper divisors (736003440).

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

248074200 is a wasteful number, since it uses less digits than its factorization.

248074200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 248074200 is about 15750.3714241919. The cubic root of 248074200 is about 628.3387829519.

The spelling of 248074200 in words is "two hundred forty-eight million, seventy-four thousand, two hundred".