416289 has 4 divisors (see below), whose sum is σ = 555056. Its totient is φ = 277524.

The previous prime is 416281. The next prime is 416291. The reversal of 416289 is 982614.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 416289 - 2³ = 416281 is a prime.

It is a D-number.

It is a Duffinian number.

416289 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (416281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69379 + ... + 69384.

It is an arithmetic number, because the mean of its divisors is an integer number (138764).

2⁴¹⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

416289 is a deficient number, since it is larger than the sum of its proper divisors (138767).

416289 is a wasteful number, since it uses less digits than its factorization.

416289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138766.

The product of its digits is 3456, while the sum is 30.

The square root of 416289 is about 645.2046187063. The cubic root of 416289 is about 74.6675059252.

It can be divided in two parts, 4 and 16289, that multiplied together give a palindrome (65156).

The spelling of 416289 in words is "four hundred sixteen thousand, two hundred eighty-nine".