Adding to 829440 its product of nonzero digits (2304), we get a square (831744 = 9122).
It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)2 ⋅ 2!.
It is a tau number, because it is divible by the number of its divisors (120).
It is a nialpdrome in base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829440.
It is an unprimeable number.
829440 is a Friedman number, since it can be written as 40*(9*8)^2*4, using all its digits and the basic arithmetic operations.
2829440 is an apocalyptic number.
829440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486485).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
829440 is an equidigital number, since it uses as much as digits as its factorization.
829440 is an odious number, because the sum of its binary digits is odd.
The square root of 829440 is about 910.7359661285. The cubic root of 829440 is about 93.9568233881.
The spelling of 829440 in words is "eight hundred twenty-nine thousand, four hundred forty".