405162 has 40 divisors (see below), whose sum is σ = 945252. Its totient is φ = 129600.

The previous prime is 405157. The next prime is 405179. The reversal of 405162 is 261504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 281961 + 123201 = 531^2 + 351^2 .

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

It is a congruent number.

It is an unprimeable number.

405162 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6612 + ... + 6672.

2⁴⁰⁵¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626).

405162 is an abundant number, since it is smaller than the sum of its proper divisors (540090).

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

405162 is a wasteful number, since it uses less digits than its factorization.

405162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

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

The square root of 405162 is about 636.5233695631. The cubic root of 405162 is about 73.9962257632.

Adding to 405162 its reverse (261504), we get a palindrome (666666).

The spelling of 405162 in words is "four hundred five thousand, one hundred sixty-two".