249201300 has 144 divisors (see below), whose sum is σ = 771325632. Its totient is φ = 61900800.

The previous prime is 249201299. The next prime is 249201301. The reversal of 249201300 is 3102942.

It is an interprime number because it is at equal distance from previous prime (249201299) and next prime (249201301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249201301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667914 + ... + 668286.

It is an arithmetic number, because the mean of its divisors is an integer number (5356428).

Almost surely, 2^249201300 is an apocalyptic number.

249201300 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 249201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385662816).

249201300 is an abundant number, since it is smaller than the sum of its proper divisors (522124332).

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

249201300 is a wasteful number, since it uses less digits than its factorization.

249201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 249201300 is about 15786.1109840264. The cubic root of 249201300 is about 629.2889432875.

The spelling of 249201300 in words is "two hundred forty-nine million, two hundred one thousand, three hundred".