249434980 has 48 divisors (see below), whose sum is σ = 538796160. Its totient is φ = 96940800.

The previous prime is 249434951. The next prime is 249434987. The reversal of 249434980 is 89434942.

It is not an unprimeable number, because it can be changed into a prime (249434987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270961 + ... + 271879.

It is an arithmetic number, because the mean of its divisors is an integer number (11224920).

Almost surely, 2^249434980 is an apocalyptic number.

249434980 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 249434980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269398080).

249434980 is an abundant number, since it is smaller than the sum of its proper divisors (289361180).

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

249434980 is a wasteful number, since it uses less digits than its factorization.

249434980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 249434980 is about 15793.5106926864. The cubic root of 249434980 is about 629.4855799019.

The spelling of 249434980 in words is "two hundred forty-nine million, four hundred thirty-four thousand, nine hundred eighty".