248900 has 36 divisors (see below), whose sum is σ = 572880. Its totient is φ = 93600.

The previous prime is 248893. The next prime is 248903. The reversal of 248900 is 9842.

248900 = 36² + 37² + ... + 92².

It is not an unprimeable number, because it can be changed into a prime (248903) by changing a digit.

248900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1835 + ... + 1965.

2²⁴⁸⁹⁰⁰ is an apocalyptic number.

248900 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 248900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286440).

248900 is an abundant number, since it is smaller than the sum of its proper divisors (323980).

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

248900 is a wasteful number, since it uses less digits than its factorization.

248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 248900 is about 498.8987873307. The cubic root of 248900 is about 62.9035224407.

The spelling of 248900 in words is "two hundred forty-eight thousand, nine hundred".