414045 has 16 divisors (see below), whose sum is σ = 736320. Its totient is φ = 220752.

The previous prime is 414031. The next prime is 414049. The reversal of 414045 is 540414.

It is not a de Polignac number, because 414045 - 2⁵ = 414013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399 + ... + 1668.

It is an arithmetic number, because the mean of its divisors is an integer number (46020).

2⁴¹⁴⁰⁴⁵ is an apocalyptic number.

414045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414045 is a deficient number, since it is larger than the sum of its proper divisors (322275).

414045 is a wasteful number, since it uses less digits than its factorization.

414045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 414045 is about 643.4632856659. The cubic root of 414045 is about 74.5330994162.

Adding to 414045 its reverse (540414), we get a palindrome (954459).

The spelling of 414045 in words is "four hundred fourteen thousand, forty-five".