414834 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 110208.

The previous prime is 414833. The next prime is 414857. The reversal of 414834 is 438414.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414834.

It is not an unprimeable number, because it can be changed into a prime (414833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4957 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁴¹⁴⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

414834 is an abundant number, since it is smaller than the sum of its proper divisors (619374).

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

414834 is a wasteful number, since it uses less digits than its factorization.

414834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 414834 is about 644.0760824623. The cubic root of 414834 is about 74.5804125513.

The spelling of 414834 in words is "four hundred fourteen thousand, eight hundred thirty-four".