409472 has 32 divisors (see below), whose sum is σ = 934320. Its totient is φ = 175104.

The previous prime is 409471. The next prime is 409477. The reversal of 409472 is 274904.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 2 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668 + ... + 1124.

2⁴⁰⁹⁴⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467160).

409472 is an abundant number, since it is smaller than the sum of its proper divisors (524848).

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

409472 is an equidigital number, since it uses as much as digits as its factorization.

409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 409472 is about 639.8999921863. The cubic root of 409472 is about 74.2576845504.

The spelling of 409472 in words is "four hundred nine thousand, four hundred seventy-two".