829464 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 244224.

The previous prime is 829463. The next prime is 829469. The reversal of 829464 is 464928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7699 + ... + 7805.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁸²⁹⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

829464 is an abundant number, since it is smaller than the sum of its proper divisors (1503336).

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

829464 is a wasteful number, since it uses less digits than its factorization.

829464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 829464 is about 910.7491421901. The cubic root of 829464 is about 93.9577295987.

The spelling of 829464 in words is "eight hundred twenty-nine thousand, four hundred sixty-four".