248646000 has 160 divisors (see below), whose sum is σ = 829857600. Its totient is φ = 63974400.

The previous prime is 248645993. The next prime is 248646007. The reversal of 248646000 is 646842.

It is an interprime number because it is at equal distance from previous prime (248645993) and next prime (248646007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248646007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173286 + ... + 174714.

It is an arithmetic number, because the mean of its divisors is an integer number (5186610).

Almost surely, 2^248646000 is an apocalyptic number.

248646000 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 248646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414928800).

248646000 is an abundant number, since it is smaller than the sum of its proper divisors (581211600).

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

248646000 is a wasteful number, since it uses less digits than its factorization.

248646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 248646000 is about 15768.5129292524. The cubic root of 248646000 is about 628.8211768276.

The spelling of 248646000 in words is "two hundred forty-eight million, six hundred forty-six thousand".