180464180 has 48 divisors (see below), whose sum is σ = 432144720. Its totient is φ = 62711808.

The previous prime is 180464171. The next prime is 180464201. The reversal of 180464180 is 81464081.

It can be written as a sum of positive squares in 8 ways, for example, as 10995856 + 169468324 = 3316^2 + 13018^2 .

It is a congruent number.

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, 15995 + ... + 24834.

It is an arithmetic number, because the mean of its divisors is an integer number (9003015).

Almost surely, 2^180464180 is an apocalyptic number.

180464180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180464180 is an abundant number, since it is smaller than the sum of its proper divisors (251680540).

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

180464180 is a wasteful number, since it uses less digits than its factorization.

180464180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40868 (or 40866 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 180464180 is about 13433.6956940374. The cubic root of 180464180 is about 565.1065452866.

Subtracting from 180464180 its reverse (81464081), we obtain a palindrome (99000099).

The spelling of 180464180 in words is "one hundred eighty million, four hundred sixty-four thousand, one hundred eighty".