409220 has 48 divisors (see below), whose sum is σ = 1021440. Its totient is φ = 134784.

The previous prime is 409217. The next prime is 409237. The reversal of 409220 is 22904.

It is a super-2 number, since 2×409220² = 334922016800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5141 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁴⁰⁹²²⁰ 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 409220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510720).

409220 is an abundant number, since it is smaller than the sum of its proper divisors (612220).

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

409220 is a wasteful number, since it uses less digits than its factorization.

409220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 409220 is about 639.7030561128. The cubic root of 409220 is about 74.2424480372.

The spelling of 409220 in words is "four hundred nine thousand, two hundred twenty".