251749872 has 120 divisors (see below), whose sum is σ = 813898800. Its totient is φ = 71792640.

The previous prime is 251749859. The next prime is 251749877. The reversal of 251749872 is 278947152.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251749877) 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 23 ways as a sum of consecutive naturals, for example, 22254 + ... + 31602.

It is an arithmetic number, because the mean of its divisors is an integer number (6782490).

Almost surely, 2^251749872 is an apocalyptic number.

251749872 is a gapful number since it is divisible by the number (22) 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 251749872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406949400).

251749872 is an abundant number, since it is smaller than the sum of its proper divisors (562148928).

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

251749872 is a wasteful number, since it uses less digits than its factorization.

251749872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9382 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 251749872 is about 15866.6276189996. The cubic root of 251749872 is about 631.4269093156.

The spelling of 251749872 in words is "two hundred fifty-one million, seven hundred forty-nine thousand, eight hundred seventy-two".