180414976 has 80 divisors (see below), whose sum is σ = 418366080. Its totient is φ = 76124160.

The previous prime is 180414973. The next prime is 180414977. The reversal of 180414976 is 679414081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180414973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254110 + ... + 254818.

It is an arithmetic number, because the mean of its divisors is an integer number (5229576).

Almost surely, 2^180414976 is an apocalyptic number.

180414976 is a gapful number since it is divisible by the number (16) 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 180414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209183040).

180414976 is an abundant number, since it is smaller than the sum of its proper divisors (237951104).

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

180414976 is an frugal number, since it uses more digits than its factorization.

180414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 180414976 is about 13431.8642041974. The cubic root of 180414976 is about 565.0551813910.

The spelling of 180414976 in words is "one hundred eighty million, four hundred fourteen thousand, nine hundred seventy-six".