409934 has 24 divisors (see below), whose sum is σ = 738720. Its totient is φ = 170016.

The previous prime is 409933. The next prime is 409943. The reversal of 409934 is 439904.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 409897 and 409906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4562 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁴⁰⁹⁹³⁴ is an apocalyptic number.

409934 is a deficient number, since it is larger than the sum of its proper divisors (328786).

409934 is a wasteful number, since it uses less digits than its factorization.

409934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 409934 is about 640.2608843276. The cubic root of 409934 is about 74.2856019300.

The spelling of 409934 in words is "four hundred nine thousand, nine hundred thirty-four".