409916 has 12 divisors (see below), whose sum is σ = 772632. Its totient is φ = 189168.

The previous prime is 409909. The next prime is 409933. The reversal of 409916 is 619904.

It is a super-2 number, since 2×409916² = 336062254112, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

409916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3890 + ... + 3993.

It is an arithmetic number, because the mean of its divisors is an integer number (64386).

2⁴⁰⁹⁹¹⁶ is an apocalyptic number.

It is an amenable number.

409916 is a deficient number, since it is larger than the sum of its proper divisors (362716).

409916 is a wasteful number, since it uses less digits than its factorization.

409916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 409916 is about 640.2468274033. The cubic root of 409916 is about 74.2845146326.

The spelling of 409916 in words is "four hundred nine thousand, nine hundred sixteen".