409024 has 56 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 157440.

The previous prime is 409021. The next prime is 409027. The reversal of 409024 is 420904.

It is an interprime number because it is at equal distance from previous prime (409021) and next prime (409027).

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 408992 and 409010.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4887 + ... + 4969.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁴⁰⁹⁰²⁴ is an apocalyptic number.

409024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

409024 is an abundant number, since it is smaller than the sum of its proper divisors (615104).

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

409024 is a wasteful number, since it uses less digits than its factorization.

409024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 409024 is about 639.5498416855. The cubic root of 409024 is about 74.2305930907.

Adding to 409024 its reverse (420904), we get a palindrome (829928).

It can be divided in two parts, 4090 and 24, that added together give a palindrome (4114).

The spelling of 409024 in words is "four hundred nine thousand, twenty-four".