249970000 has 100 divisors (see below), whose sum is σ = 691853536. Its totient is φ = 85680000.

The previous prime is 249969991. The next prime is 249970001. The reversal of 249970000 is 79942.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249970001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68215 + ... + 71785.

Almost surely, 2^249970000 is an apocalyptic number.

249970000 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 249970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345926768).

249970000 is an abundant number, since it is smaller than the sum of its proper divisors (441883536).

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

249970000 is an equidigital number, since it uses as much as digits as its factorization.

249970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 249970000 is about 15810.4395890816. The cubic root of 249970000 is about 629.9353255184.

The spelling of 249970000 in words is "two hundred forty-nine million, nine hundred seventy thousand".