405156 has 24 divisors (see below), whose sum is σ = 995680. Its totient is φ = 127872.

The previous prime is 405143. The next prime is 405157. The reversal of 405156 is 651504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405157) by changing a digit.

405156 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 7 ways as a sum of consecutive naturals, for example, 661 + ... + 1116.

2⁴⁰⁵¹⁵⁶ is an apocalyptic number.

It is an amenable number.

405156 is an abundant number, since it is smaller than the sum of its proper divisors (590524).

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

405156 is a wasteful number, since it uses less digits than its factorization.

405156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 405156 is about 636.5186564430. The cubic root of 405156 is about 73.9958604940.

It can be divided in two parts, 405 and 156, that added together give a triangular number (561 = T₃₃).

The spelling of 405156 in words is "four hundred five thousand, one hundred fifty-six".