405180 has 36 divisors (see below), whose sum is σ = 1229592. Its totient is φ = 108000.

The previous prime is 405179. The next prime is 405199. The reversal of 405180 is 81504.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 946 + ... + 1305.

2⁴⁰⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

405180 is an abundant number, since it is smaller than the sum of its proper divisors (824412).

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

405180 is a wasteful number, since it uses less digits than its factorization.

405180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 405180 is about 636.5375087141. The cubic root of 405180 is about 73.9973215490.

Adding to 405180 its reverse (81504), we get a palindrome (486684).

It can be divided in two parts, 405 and 180, that multiplied together give a square (72900 = 270²).

The spelling of 405180 in words is "four hundred five thousand, one hundred eighty".