407082 has 32 divisors (see below), whose sum is σ = 931392. Its totient is φ = 117504.

The previous prime is 407059. The next prime is 407083. The reversal of 407082 is 280704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (29106).

2⁴⁰⁷⁰⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696).

407082 is an abundant number, since it is smaller than the sum of its proper divisors (524310).

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

407082 is a wasteful number, since it uses less digits than its factorization.

407082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 407082 is about 638.0297798692. The cubic root of 407082 is about 74.1129271667.

Adding to 407082 its reverse (280704), we get a palindrome (687786).

The spelling of 407082 in words is "four hundred seven thousand, eighty-two".