406782 has 36 divisors (see below), whose sum is σ = 944736. Its totient is φ = 131220.

The previous prime is 406739. The next prime is 406789. The reversal of 406782 is 287604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406789) by changing a digit.

406782 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 17 ways as a sum of consecutive naturals, for example, 13107 + ... + 13137.

406782 is a Friedman number, since it can be written as 62*(7-4-0)^8, using all its digits and the basic arithmetic operations.

2⁴⁰⁶⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472368).

406782 is an abundant number, since it is smaller than the sum of its proper divisors (537954).

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

406782 is an frugal number, since it uses more digits than its factorization.

406782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 406782 is about 637.7946377950. The cubic root of 406782 is about 74.0947167962.

The spelling of 406782 in words is "four hundred six thousand, seven hundred eighty-two".