414605 has 8 divisors (see below), whose sum is σ = 503064. Its totient is φ = 328000.

The previous prime is 414577. The next prime is 414607. The reversal of 414605 is 506414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94249 + 320356 = 307^2 + 566^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414605 - 2¹⁸ = 152461 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (62883).

2⁴¹⁴⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

414605 is a deficient number, since it is larger than the sum of its proper divisors (88459).

414605 is a wasteful number, since it uses less digits than its factorization.

414605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 414605 is about 643.8982838927. The cubic root of 414605 is about 74.5666865323.

Subtracting 414605 from its reverse (506414), we obtain a square (91809 = 303²).

It can be divided in two parts, 41 and 4605, that multiplied together give a triangular number (188805 = T₆₁₄).

The spelling of 414605 in words is "four hundred fourteen thousand, six hundred five".