414516 has 12 divisors (see below), whose sum is σ = 967232. Its totient is φ = 138168.

The previous prime is 414503. The next prime is 414521. The reversal of 414516 is 615414.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 414492 and 414501.

It is a congruent number.

It is an unprimeable number.

414516 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 3 ways as a sum of consecutive naturals, for example, 17260 + ... + 17283.

2⁴¹⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

414516 is an abundant number, since it is smaller than the sum of its proper divisors (552716).

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

414516 is a wasteful number, since it uses less digits than its factorization.

414516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34550 (or 34548 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 414516 is about 643.8291698890. The cubic root of 414516 is about 74.5613506021.

The spelling of 414516 in words is "four hundred fourteen thousand, five hundred sixteen".