248238000 has 160 divisors (see below), whose sum is σ = 889437120. Its totient is φ = 66182400.

The previous prime is 248237993. The next prime is 248238007. The reversal of 248238000 is 832842.

It is an interprime number because it is at equal distance from previous prime (248237993) and next prime (248238007).

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 (248238007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51702 + ... + 56298.

It is an arithmetic number, because the mean of its divisors is an integer number (5558982).

Almost surely, 2^248238000 is an apocalyptic number.

248238000 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 248238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444718560).

248238000 is an abundant number, since it is smaller than the sum of its proper divisors (641199120).

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

248238000 is a wasteful number, since it uses less digits than its factorization.

248238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 248238000 is about 15755.5704434971. The cubic root of 248238000 is about 628.4770470255.

It can be divided in two parts, 24823 and 8000, that added together give a palindrome (32823).

The spelling of 248238000 in words is "two hundred forty-eight million, two hundred thirty-eight thousand".