409460 has 24 divisors (see below), whose sum is σ = 876960. Its totient is φ = 160544.

The previous prime is 409441. The next prime is 409463. The reversal of 409460 is 64904.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409460.

It is not an unprimeable number, because it can be changed into a prime (409463) by changing a digit.

409460 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 7 ways as a sum of consecutive naturals, for example, 1007 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

2⁴⁰⁹⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

409460 is an abundant number, since it is smaller than the sum of its proper divisors (467500).

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

409460 is a wasteful number, since it uses less digits than its factorization.

409460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 409460 is about 639.8906156524. The cubic root of 409460 is about 74.2569591440.

The spelling of 409460 in words is "four hundred nine thousand, four hundred sixty".