405612 has 36 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 127872.

The previous prime is 405611. The next prime is 405641. The reversal of 405612 is 216504.

It is a happy number.

405612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (405611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁴⁰⁵⁶¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

405612 is an abundant number, since it is smaller than the sum of its proper divisors (675468).

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

405612 is a wasteful number, since it uses less digits than its factorization.

405612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 405612 is about 636.8767541683. The cubic root of 405612 is about 74.0236106787.

The spelling of 405612 in words is "four hundred five thousand, six hundred twelve".