248602500 has 240 divisors, whose sum is σ = 839731200. Its totient is φ = 63504000.

The previous prime is 248602483. The next prime is 248602507. The reversal of 248602500 is 5206842.

248602500 is a `hidden beast` number, since 2 + 4 + 8 + 602 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (248602507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1957437 + ... + 1957563.

It is an arithmetic number, because the mean of its divisors is an integer number (3498880).

Almost surely, 2^248602500 is an apocalyptic number.

248602500 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 248602500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419865600).

248602500 is an abundant number, since it is smaller than the sum of its proper divisors (591128700).

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

248602500 is a wasteful number, since it uses less digits than its factorization.

248602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 248602500 is about 15767.1335378375. The cubic root of 248602500 is about 628.7845044547.

The spelling of 248602500 in words is "two hundred forty-eight million, six hundred two thousand, five hundred".