405212 has 24 divisors (see below), whose sum is σ = 771120. Its totient is φ = 185600.

The previous prime is 405211. The next prime is 405221. The reversal of 405212 is 212504.

Added to its reverse (212504) it gives a triangular number (617716 = T₁₁₁₁).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405211) 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 7 ways as a sum of consecutive naturals, for example, 3962 + ... + 4062.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁴⁰⁵²¹² is an apocalyptic number.

It is an amenable number.

405212 is a deficient number, since it is larger than the sum of its proper divisors (365908).

405212 is a wasteful number, since it uses less digits than its factorization.

405212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 405212 is about 636.5626442072. The cubic root of 405212 is about 73.9992695326. Note that the first 3 decimals are identical.

Adding to 405212 its reverse (212504), we get a palindrome (617716).

The spelling of 405212 in words is "four hundred five thousand, two hundred twelve".