416309 has 4 divisors (see below), whose sum is σ = 438240. Its totient is φ = 394380.

The previous prime is 416291. The next prime is 416333. The reversal of 416309 is 903614.

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 a cyclic number.

It is not a de Polignac number, because 416309 - 2¹² = 412213 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416359) 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, 10937 + ... + 10974.

It is an arithmetic number, because the mean of its divisors is an integer number (109560).

2⁴¹⁶³⁰⁹ is an apocalyptic number.

It is an amenable number.

416309 is a deficient number, since it is larger than the sum of its proper divisors (21931).

416309 is a wasteful number, since it uses less digits than its factorization.

416309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21930.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 416309 is about 645.2201174793. The cubic root of 416309 is about 74.6687016700.

The spelling of 416309 in words is "four hundred sixteen thousand, three hundred nine".