409140 has 36 divisors (see below), whose sum is σ = 1241604. Its totient is φ = 109056.

The previous prime is 409121. The next prime is 409153. The reversal of 409140 is 41904.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 142884 = 516^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (34489).

2⁴⁰⁹¹⁴⁰ is an apocalyptic number.

It is an amenable number.

409140 is an abundant number, since it is smaller than the sum of its proper divisors (832464).

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

409140 is a wasteful number, since it uses less digits than its factorization.

409140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 409140 is about 639.6405240446. The cubic root of 409140 is about 74.2376097408.

Subtracting from 409140 its reverse (41904), we obtain a square (367236 = 606²).

It can be divided in two parts, 40 and 9140, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 409140 in words is "four hundred nine thousand, one hundred forty".