248501000 has 256 divisors, whose sum is σ = 707616000. Its totient is φ = 80640000.

The previous prime is 248500963. The next prime is 248501009. The reversal of 248501000 is 105842.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (248501009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6060980 + ... + 6061020.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^248501000 is an apocalyptic number.

248501000 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 248501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

248501000 is an abundant number, since it is smaller than the sum of its proper divisors (459115000).

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

248501000 is a wasteful number, since it uses less digits than its factorization.

248501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 248501000 is about 15763.9144884765. The cubic root of 248501000 is about 628.6989189451.

Adding to 248501000 its reverse (105842), we get a palindrome (248606842).

The spelling of 248501000 in words is "two hundred forty-eight million, five hundred one thousand".