251480320 has 288 divisors, whose sum is σ = 791175168. Its totient is φ = 74317824.

The previous prime is 251480293. The next prime is 251480323. The reversal of 251480320 is 23084152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251480323) 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 31 ways as a sum of consecutive naturals, for example, 1980097 + ... + 1980223.

It is an arithmetic number, because the mean of its divisors is an integer number (2747136).

Almost surely, 2^251480320 is an apocalyptic number.

251480320 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 251480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395587584).

251480320 is an abundant number, since it is smaller than the sum of its proper divisors (539694848).

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

251480320 is a wasteful number, since it uses less digits than its factorization.

251480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 251480320 is about 15858.1310374205. The cubic root of 251480320 is about 631.2014697194.

The spelling of 251480320 in words is "two hundred fifty-one million, four hundred eighty thousand, three hundred twenty".