248505000 has 80 divisors (see below), whose sum is σ = 776376480. Its totient is φ = 66264000.

The previous prime is 248504957. The next prime is 248505001. The reversal of 248505000 is 505842.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (248505001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6717 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (9704706).

Almost surely, 2^248505000 is an apocalyptic number.

248505000 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 248505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388188240).

248505000 is an abundant number, since it is smaller than the sum of its proper divisors (527871480).

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

248505000 is a wasteful number, since it uses less digits than its factorization.

248505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 16577 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 248505000 is about 15764.0413600066. The cubic root of 248505000 is about 628.7022922142.

The spelling of 248505000 in words is "two hundred forty-eight million, five hundred five thousand".