409240 has 32 divisors (see below), whose sum is σ = 992880. Its totient is φ = 150912.

The previous prime is 409237. The next prime is 409259. The reversal of 409240 is 42904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 913.

2⁴⁰⁹²⁴⁰ is an apocalyptic number.

409240 is a gapful number since it is divisible by the number (40) 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 409240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496440).

409240 is an abundant number, since it is smaller than the sum of its proper divisors (583640).

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

409240 is a wasteful number, since it uses less digits than its factorization.

409240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

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

The square root of 409240 is about 639.7186881747. The cubic root of 409240 is about 74.2436575128.

The spelling of 409240 in words is "four hundred nine thousand, two hundred forty".