809416 has 32 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 375232.

The previous prime is 809407. The next prime is 809423. The reversal of 809416 is 614908.

It is a super-2 number, since 2×809416² = 1310308522112, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711 + ... + 9793.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2⁸⁰⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

809416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

809416 is a wasteful number, since it uses less digits than its factorization.

809416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 809416 is about 899.6754970544. The cubic root of 809416 is about 93.1945670297.

It can be divided in two parts, 809 and 416, that added together give a triangular number (1225 = T₄₉).

The spelling of 809416 in words is "eight hundred nine thousand, four hundred sixteen".