409120 has 24 divisors (see below), whose sum is σ = 966924. Its totient is φ = 163584.

The previous prime is 409099. The next prime is 409121. The reversal of 409120 is 21904.

It can be written as a sum of positive squares in 2 ways, for example, as 404496 + 4624 = 636^2 + 68^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 409094 and 409103.

It is not an unprimeable number, because it can be changed into a prime (409121) 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, 1119 + ... + 1438.

2⁴⁰⁹¹²⁰ is an apocalyptic number.

409120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409120 is an abundant number, since it is smaller than the sum of its proper divisors (557804).

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

409120 is a wasteful number, since it uses less digits than its factorization.

409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 409120 is about 639.6248900723. The cubic root of 409120 is about 74.2364000682.

It can be divided in two parts, 409 and 120, that added together give a square (529 = 23²).

The spelling of 409120 in words is "four hundred nine thousand, one hundred twenty".