409446 has 36 divisors (see below), whose sum is σ = 948948. Its totient is φ = 127512.

The previous prime is 409441. The next prime is 409463. The reversal of 409446 is 644904.

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 409446.

It is not an unprimeable number, because it can be changed into a prime (409441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9501 + ... + 9543.

2⁴⁰⁹⁴⁴⁶ is an apocalyptic number.

409446 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 409446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474474).

409446 is an abundant number, since it is smaller than the sum of its proper divisors (539502).

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

409446 is a wasteful number, since it uses less digits than its factorization.

409446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 409446 is about 639.8796761892. The cubic root of 409446 is about 74.2561128185.

The spelling of 409446 in words is "four hundred nine thousand, four hundred forty-six".