414080 has 32 divisors (see below), whose sum is σ = 991440. Its totient is φ = 165376.

The previous prime is 414077. The next prime is 414083. The reversal of 414080 is 80414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414077) and next prime (414083).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414083) 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, 317 + ... + 963.

2⁴¹⁴⁰⁸⁰ is an apocalyptic number.

414080 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 414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495720).

414080 is an abundant number, since it is smaller than the sum of its proper divisors (577360).

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

414080 is an equidigital number, since it uses as much as digits as its factorization.

414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 414080 is about 643.4904816701. The cubic root of 414080 is about 74.5351994979.

Adding to 414080 its reverse (80414), we get a palindrome (494494).

The spelling of 414080 in words is "four hundred fourteen thousand, eighty".