251800272 has 160 divisors (see below), whose sum is σ = 758880000. Its totient is φ = 79833600.

The previous prime is 251800267. The next prime is 251800279. The reversal of 251800272 is 272008152.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251800279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265229 + ... + 1265427.

It is an arithmetic number, because the mean of its divisors is an integer number (4743000).

Almost surely, 2^251800272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440000).

251800272 is an abundant number, since it is smaller than the sum of its proper divisors (507079728).

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

251800272 is a wasteful number, since it uses less digits than its factorization.

251800272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 251800272 is about 15868.2157787194. The cubic root of 251800272 is about 631.4690434552.

The spelling of 251800272 in words is "two hundred fifty-one million, eight hundred thousand, two hundred seventy-two".