413814 has 16 divisors (see below), whose sum is σ = 876528. Its totient is φ = 129792.

The previous prime is 413807. The next prime is 413827. The reversal of 413814 is 418314.

413814 = 42² + 43² + ... + 109².

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, 1927 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (54783).

2⁴¹³⁸¹⁴ is an apocalyptic number.

413814 is an abundant number, since it is smaller than the sum of its proper divisors (462714).

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

413814 is a wasteful number, since it uses less digits than its factorization.

413814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079.

The product of its digits is 384, while the sum is 21.

The square root of 413814 is about 643.2837632025. The cubic root of 413814 is about 74.5192359079.

The spelling of 413814 in words is "four hundred thirteen thousand, eight hundred fourteen".