248890500 has 288 divisors, whose sum is σ = 858574080. Its totient is φ = 60480000.

The previous prime is 248890483. The next prime is 248890513. The reversal of 248890500 is 5098842.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3505465 + ... + 3505535.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^248890500 is an apocalyptic number.

248890500 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 248890500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

248890500 is an abundant number, since it is smaller than the sum of its proper divisors (609683580).

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

248890500 is a wasteful number, since it uses less digits than its factorization.

248890500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 248890500 is about 15776.2638162526. The cubic root of 248890500 is about 629.0272213123.

The spelling of 248890500 in words is "two hundred forty-eight million, eight hundred ninety thousand, five hundred".