414089 has 8 divisors (see below), whose sum is σ = 455112. Its totient is φ = 374400.

The previous prime is 414083. The next prime is 414097. The reversal of 414089 is 980414.

414089 = 2² + 3² + ... + 107².

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 319225 = 308^2 + 565^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414089 - 2¹² = 409993 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414089.

It is not an unprimeable number, because it can be changed into a prime (414083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (56889).

2⁴¹⁴⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

414089 is a deficient number, since it is larger than the sum of its proper divisors (41023).

414089 is a wasteful number, since it uses less digits than its factorization.

414089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 414089 is about 643.4974747425. The cubic root of 414089 is about 74.5357394997.

The spelling of 414089 in words is "four hundred fourteen thousand, eighty-nine".