180413320 has 16 divisors (see below), whose sum is σ = 405930060. Its totient is φ = 72165312.

The previous prime is 180413309. The next prime is 180413329. The reversal of 180413320 is 23314081.

It can be written as a sum of positive squares in 2 ways, for example, as 164301124 + 16112196 = 12818^2 + 4014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180413291 and 180413300.

It is not an unprimeable number, because it can be changed into a prime (180413329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2255127 + ... + 2255206.

Almost surely, 2^180413320 is an apocalyptic number.

180413320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180413320 is an abundant number, since it is smaller than the sum of its proper divisors (225516740).

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

180413320 is a wasteful number, since it uses less digits than its factorization.

180413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510344 (or 4510340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 180413320 is about 13431.8025595971. The cubic root of 180413320 is about 565.0534525355.

The spelling of 180413320 in words is "one hundred eighty million, four hundred thirteen thousand, three hundred twenty".