408156 has 48 divisors (see below), whose sum is σ = 1123584. Its totient is φ = 112896.

The previous prime is 408137. The next prime is 408169. The reversal of 408156 is 651804.

408156 is a nontrivial binomial coefficient, being equal to C(904, 2).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

408156 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 15 ways as a sum of consecutive naturals, for example, 3556 + ... + 3668.

It is an arithmetic number, because the mean of its divisors is an integer number (23408).

2⁴⁰⁸¹⁵⁶ is an apocalyptic number.

408156 is the 903-rd triangular number and also the 452-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561792).

408156 is an abundant number, since it is smaller than the sum of its proper divisors (715428).

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

408156 is a wasteful number, since it uses less digits than its factorization.

408156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 408156 is about 638.8708789732. The cubic root of 408156 is about 74.1780470410.

The spelling of 408156 in words is "four hundred eight thousand, one hundred fifty-six".