405536 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 177408.

The previous prime is 405529. The next prime is 405541. The reversal of 405536 is 635504.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13970 + ... + 13998.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁴⁰⁵⁵³⁶ is an apocalyptic number.

405536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

405536 is the 368-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

405536 is an abundant number, since it is smaller than the sum of its proper divisors (501664).

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

405536 is a wasteful number, since it uses less digits than its factorization.

405536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 405536 is about 636.8170851979. The cubic root of 405536 is about 74.0189870928.

The spelling of 405536 in words is "four hundred five thousand, five hundred thirty-six".