248597200 has 60 divisors (see below), whose sum is σ = 604891840. Its totient is φ = 98167680.

The previous prime is 248597131. The next prime is 248597207. The reversal of 248597200 is 2795842.

It is a self number, because there is not a number n which added to its sum of digits gives 248597200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248597207) 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 11 ways as a sum of consecutive naturals, for example, 27667 + ... + 35533.

Almost surely, 2^248597200 is an apocalyptic number.

248597200 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 248597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302445920).

248597200 is an abundant number, since it is smaller than the sum of its proper divisors (356294640).

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

248597200 is a wasteful number, since it uses less digits than its factorization.

248597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 248597200 is about 15766.9654658086. The cubic root of 248597200 is about 628.7800360341.

The spelling of 248597200 in words is "two hundred forty-eight million, five hundred ninety-seven thousand, two hundred".