248398200 has 72 divisors (see below), whose sum is σ = 834210000. Its totient is φ = 66239040.

The previous prime is 248398193. The next prime is 248398261. The reversal of 248398200 is 2893842.

248398200 is a `hidden beast` number, since 248 + 398 + 20 + 0 = 666.

248398200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67200 + ... + 70799.

It is an arithmetic number, because the mean of its divisors is an integer number (11586250).

Almost surely, 2^248398200 is an apocalyptic number.

248398200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248398200 is an abundant number, since it is smaller than the sum of its proper divisors (585811800).

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

248398200 is a wasteful number, since it uses less digits than its factorization.

248398200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138021 (or 138009 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248398200 is about 15760.6535397489. The cubic root of 248398200 is about 628.6122135087.

The spelling of 248398200 in words is "two hundred forty-eight million, three hundred ninety-eight thousand, two hundred".