249975180 has 192 divisors, whose sum is σ = 957358080. Its totient is φ = 52731648.

The previous prime is 249975179. The next prime is 249975199. The reversal of 249975180 is 81579942.

249975180 is a `hidden beast` number, since 2 + 49 + 97 + 518 + 0 = 666.

249975180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46597 + ... + 51683.

It is an arithmetic number, because the mean of its divisors is an integer number (4986240).

Almost surely, 2^249975180 is an apocalyptic number.

249975180 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 249975180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478679040).

249975180 is an abundant number, since it is smaller than the sum of its proper divisors (707382900).

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

249975180 is a wasteful number, since it uses less digits than its factorization.

249975180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5125 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 249975180 is about 15810.6034040450. The cubic root of 249975180 is about 629.9396767638.

The spelling of 249975180 in words is "two hundred forty-nine million, nine hundred seventy-five thousand, one hundred eighty".