414820 has 24 divisors (see below), whose sum is σ = 995904. Its totient is φ = 142176.

The previous prime is 414809. The next prime is 414833. The reversal of 414820 is 28414.

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, 1342 + ... + 1621.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁴¹⁴⁸²⁰ is an apocalyptic number.

It is an amenable number.

414820 is an abundant number, since it is smaller than the sum of its proper divisors (581084).

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

414820 is a wasteful number, since it uses less digits than its factorization.

414820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 414820 is about 644.0652140894. The cubic root of 414820 is about 74.5795735511.

The spelling of 414820 in words is "four hundred fourteen thousand, eight hundred twenty".