252231680 has 60 divisors (see below), whose sum is σ = 605534160. Its totient is φ = 100859904.

The previous prime is 252231673. The next prime is 252231691. The reversal of 252231680 is 86132252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80381 + ... + 83459.

It is an arithmetic number, because the mean of its divisors is an integer number (10092236).

Almost surely, 2^252231680 is an apocalyptic number.

252231680 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 252231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302767080).

252231680 is an abundant number, since it is smaller than the sum of its proper divisors (353302480).

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

252231680 is an frugal number, since it uses more digits than its factorization.

252231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 252231680 is about 15881.8034240448. The cubic root of 252231680 is about 631.8294684908.

The spelling of 252231680 in words is "two hundred fifty-two million, two hundred thirty-one thousand, six hundred eighty".