414825 has 12 divisors (see below), whose sum is σ = 685968. Its totient is φ = 221200.

The previous prime is 414809. The next prime is 414833. The reversal of 414825 is 528414.

It is not a de Polignac number, because 414825 - 2⁴ = 414809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414795 and 414804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2691 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (57164).

2⁴¹⁴⁸²⁵ is an apocalyptic number.

It is an amenable number.

414825 is a deficient number, since it is larger than the sum of its proper divisors (271143).

414825 is a wasteful number, since it uses less digits than its factorization.

414825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5539 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 414825 is about 644.0690956722. The cubic root of 414825 is about 74.5798731962.

The spelling of 414825 in words is "four hundred fourteen thousand, eight hundred twenty-five".