409014 has 24 divisors (see below), whose sum is σ = 916032. Its totient is φ = 131760.

The previous prime is 409007. The next prime is 409021. The reversal of 409014 is 410904.

It is an interprime number because it is at equal distance from previous prime (409007) and next prime (409021).

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.

409014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (38168).

2⁴⁰⁹⁰¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458016).

409014 is an abundant number, since it is smaller than the sum of its proper divisors (507018).

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

409014 is a wasteful number, since it uses less digits than its factorization.

409014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 769 counting only the distinct ones).

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

The square root of 409014 is about 639.5420236388. The cubic root of 409014 is about 74.2299881450.

Adding to 409014 its reverse (410904), we get a palindrome (819918).

The spelling of 409014 in words is "four hundred nine thousand, fourteen".