248001000 has 128 divisors (see below), whose sum is σ = 833414400. Its totient is φ = 61036800.

The previous prime is 248000993. The next prime is 248001007. The reversal of 248001000 is 100842.

It is an interprime number because it is at equal distance from previous prime (248000993) and next prime (248001007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (248001007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35821 + ... + 42179.

It is an arithmetic number, because the mean of its divisors is an integer number (6511050).

Almost surely, 2^248001000 is an apocalyptic number.

248001000 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 248001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416707200).

248001000 is an abundant number, since it is smaller than the sum of its proper divisors (585413400).

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

248001000 is a wasteful number, since it uses less digits than its factorization.

248001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 248001000 is about 15748.0474980234. The cubic root of 248001000 is about 628.2769749343.

Adding to 248001000 its reverse (100842), we get a palindrome (248101842).

The spelling of 248001000 in words is "two hundred forty-eight million, one thousand".