414016 has 14 divisors (see below), whose sum is σ = 821690. Its totient is φ = 206976.

The previous prime is 414013. The next prime is 414017. The reversal of 414016 is 610414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 160000 = 504^2 + 400^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3171 + ... + 3298.

2⁴¹⁴⁰¹⁶ is an apocalyptic number.

It is an amenable number.

414016 is a deficient number, since it is larger than the sum of its proper divisors (407674).

414016 is an equidigital number, since it uses as much as digits as its factorization.

414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 414016 is about 643.4407509631. The cubic root of 414016 is about 74.5313592588.

The spelling of 414016 in words is "four hundred fourteen thousand, sixteen".