249804000 has 288 divisors, whose sum is σ = 922967136. Its totient is φ = 66355200.

The previous prime is 249803993. The next prime is 249804011. The reversal of 249804000 is 408942.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971872 + ... + 972128.

It is an arithmetic number, because the mean of its divisors is an integer number (3204747).

Almost surely, 2^249804000 is an apocalyptic number.

249804000 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 249804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461483568).

249804000 is an abundant number, since it is smaller than the sum of its proper divisors (673163136).

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

249804000 is an equidigital number, since it uses as much as digits as its factorization.

249804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 249804000 is about 15805.1890213309. The cubic root of 249804000 is about 629.7958522216.

The spelling of 249804000 in words is "two hundred forty-nine million, eight hundred four thousand".