249990500 has 48 divisors (see below), whose sum is σ = 560776944. Its totient is φ = 97286400.

The previous prime is 249990421. The next prime is 249990511. The reversal of 249990500 is 5099942.

It can be written as a sum of positive squares in 8 ways, for example, as 31719424 + 218271076 = 5632^2 + 14774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11744 + ... + 25256.

It is an arithmetic number, because the mean of its divisors is an integer number (11682853).

Almost surely, 2^249990500 is an apocalyptic number.

249990500 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 249990500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280388472).

249990500 is an abundant number, since it is smaller than the sum of its proper divisors (310786444).

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

249990500 is a wasteful number, since it uses less digits than its factorization.

249990500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 249990500 is about 15811.0878816102. The cubic root of 249990500 is about 629.9525453464.

The spelling of 249990500 in words is "two hundred forty-nine million, nine hundred ninety thousand, five hundred".