409020 has 48 divisors (see below), whose sum is σ = 1215648. Its totient is φ = 102400.

The previous prime is 409007. The next prime is 409021. The reversal of 409020 is 20904.

409020 = T₂₈₁ + T₂₈₂ + ... + T₂₉₀.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 409020.

It is not an unprimeable number, because it can be changed into a prime (409021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (25326).

2⁴⁰⁹⁰²⁰ 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 409020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607824).

409020 is an abundant number, since it is smaller than the sum of its proper divisors (806628).

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

409020 is a wasteful number, since it uses less digits than its factorization.

409020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 409020 is about 639.5467144783. The cubic root of 409020 is about 74.2303511136.

Adding to 409020 its reverse (20904), we get a palindrome (429924).

The spelling of 409020 in words is "four hundred nine thousand, twenty".