249978600 has 144 divisors (see below), whose sum is σ = 847629900. Its totient is φ = 66017280.

The previous prime is 249978583. The next prime is 249978629. The reversal of 249978600 is 6879942.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 92275236 + 157703364 = 9606^2 + 12558^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202786 + ... + 204014.

Almost surely, 2^249978600 is an apocalyptic number.

249978600 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 249978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423814950).

249978600 is an abundant number, since it is smaller than the sum of its proper divisors (597651300).

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

249978600 is a wasteful number, since it uses less digits than its factorization.

249978600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 249978600 is about 15810.7115589400. The cubic root of 249978600 is about 629.9425495609.

The spelling of 249978600 in words is "two hundred forty-nine million, nine hundred seventy-eight thousand, six hundred".