477834 has 32 divisors (see below), whose sum is σ = 1130496. Its totient is φ = 131760.

The previous prime is 477823. The next prime is 477839. The reversal of 477834 is 438774.

It is a happy number.

477834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 477795 and 477804.

It is not an unprimeable number, because it can be changed into a prime (477839) by changing a digit.

477834 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (35328).

2⁴⁷⁷⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565248).

477834 is an abundant number, since it is smaller than the sum of its proper divisors (652662).

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

477834 is a wasteful number, since it uses less digits than its factorization.

477834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its digits is 18816, while the sum is 33.

The square root of 477834 is about 691.2553797259. The cubic root of 477834 is about 78.1794029606.

Subtracting from 477834 its reverse (438774), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 477834 in words is "four hundred seventy-seven thousand, eight hundred thirty-four".