249900 has 108 divisors (see below), whose sum is σ = 890568. Its totient is φ = 53760.

The previous prime is 249881. The next prime is 249911. The reversal of 249900 is 9942.

249900 = 46² + 47² + ... + 94².

249900 is a nontrivial binomial coefficient, being equal to C(51, 4).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14692 + ... + 14708.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2²⁴⁹⁹⁰⁰ is an apocalyptic number.

249900 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 249900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445284).

249900 is an abundant number, since it is smaller than the sum of its proper divisors (640668).

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

249900 is a wasteful number, since it uses less digits than its factorization.

249900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 249900 is about 499.8999899980. The cubic root of 249900 is about 62.9876519009.

The spelling of 249900 in words is "two hundred forty-nine thousand, nine hundred".