180056464 has 80 divisors (see below), whose sum is σ = 422830080. Its totient is φ = 72558720.

The previous prime is 180056453. The next prime is 180056479. The reversal of 180056464 is 464650081.

180056464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406227 + ... + 406669.

It is an arithmetic number, because the mean of its divisors is an integer number (5285376).

Almost surely, 2^180056464 is an apocalyptic number.

180056464 is a gapful number since it is divisible by the number (14) 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 180056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211415040).

180056464 is an abundant number, since it is smaller than the sum of its proper divisors (242773616).

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

180056464 is a wasteful number, since it uses less digits than its factorization.

180056464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 180056464 is about 13418.5119890396. The cubic root of 180056464 is about 564.6806496657.

The spelling of 180056464 in words is "one hundred eighty million, fifty-six thousand, four hundred sixty-four".