180429312 has 160 divisors (see below), whose sum is σ = 558214272. Its totient is φ = 50724864.

The previous prime is 180429299. The next prime is 180429317. The reversal of 180429312 is 213924081.

It is a self number, because there is not a number n which added to its sum of digits gives 180429312.

It is not an unprimeable number, because it can be changed into a prime (180429317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1042858 + ... + 1043030.

Almost surely, 2^180429312 is an apocalyptic number.

180429312 is a gapful number since it is divisible by the number (12) 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 180429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279107136).

180429312 is an abundant number, since it is smaller than the sum of its proper divisors (377784960).

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

180429312 is an equidigital number, since it uses as much as digits as its factorization.

180429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 180429312 is about 13432.3978499745. The cubic root of 180429312 is about 565.0701476587.

The spelling of 180429312 in words is "one hundred eighty million, four hundred twenty-nine thousand, three hundred twelve".