536406 has 36 divisors (see below), whose sum is σ = 1214388. Its totient is φ = 157872.

The previous prime is 536399. The next prime is 536407. The reversal of 536406 is 604635.

536406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536406.

It is not an unprimeable number, because it can be changed into a prime (536407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23311 + ... + 23333.

It is an arithmetic number, because the mean of its divisors is an integer number (33733).

2⁵³⁶⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607194).

536406 is an abundant number, since it is smaller than the sum of its proper divisors (677982).

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

536406 is a wasteful number, since it uses less digits than its factorization.

536406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 536406 is about 732.3974330922. The cubic root of 536406 is about 81.2514666402.

Multiplying 536406 by its sum of digits (24), we get a square (12873744 = 3588²).

The spelling of 536406 in words is "five hundred thirty-six thousand, four hundred six".