248773500 has 144 divisors (see below), whose sum is σ = 798950880. Its totient is φ = 65145600.

The previous prime is 248773477. The next prime is 248773501. The reversal of 248773500 is 5377842.

248773500 is a `hidden beast` number, since 2 + 4 + 87 + 73 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248773501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265032 + ... + 265968.

It is an arithmetic number, because the mean of its divisors is an integer number (5548270).

Almost surely, 2^248773500 is an apocalyptic number.

248773500 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 248773500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399475440).

248773500 is an abundant number, since it is smaller than the sum of its proper divisors (550177380).

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

248773500 is a wasteful number, since it uses less digits than its factorization.

248773500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 248773500 is about 15772.5552780772. Note that the first 3 decimals coincide. The cubic root of 248773500 is about 628.9286401825.

The spelling of 248773500 in words is "two hundred forty-eight million, seven hundred seventy-three thousand, five hundred".