406296 has 96 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 116640.

The previous prime is 406271. The next prime is 406309. The reversal of 406296 is 692604.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21375 + ... + 21393.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2⁴⁰⁶²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

406296 is an abundant number, since it is smaller than the sum of its proper divisors (904104).

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

406296 is a wasteful number, since it uses less digits than its factorization.

406296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406296 is about 637.4135235465. The cubic root of 406296 is about 74.0651969856.

It can be divided in two parts, 40 and 6296, that added together give a palindrome (6336).

The spelling of 406296 in words is "four hundred six thousand, two hundred ninety-six".