416084 has 6 divisors (see below), whose sum is σ = 728154. Its totient is φ = 208040.

The previous prime is 416077. The next prime is 416089. The reversal of 416084 is 480614.

It is a happy number.

416084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 31684 = 620^2 + 178^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52007 + ... + 52014.

It is an arithmetic number, because the mean of its divisors is an integer number (121359).

2⁴¹⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

416084 is a deficient number, since it is larger than the sum of its proper divisors (312070).

416084 is a wasteful number, since it uses less digits than its factorization.

416084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104025 (or 104023 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 416084 is about 645.0457348127. The cubic root of 416084 is about 74.6552473324.

Adding to 416084 its reverse (480614), we get a palindrome (896698).

The spelling of 416084 in words is "four hundred sixteen thousand, eighty-four".