406824 has 64 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 116160.

The previous prime is 406817. The next prime is 406837. The reversal of 406824 is 428604.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 406794 and 406803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁴⁰⁶⁸²⁴ is an apocalyptic number.

406824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

406824 is an abundant number, since it is smaller than the sum of its proper divisors (768216).

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

406824 is a wasteful number, since it uses less digits than its factorization.

406824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 406824 is about 637.8275629040. The cubic root of 406824 is about 74.0972667869.

The spelling of 406824 in words is "four hundred six thousand, eight hundred twenty-four".