828450 has 72 divisors (see below), whose sum is σ = 2553408. Its totient is φ = 188640.

The previous prime is 828449. The next prime is 828517. The reversal of 828450 is 54828.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3019 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (35464).

2⁸²⁸⁴⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276704).

828450 is an abundant number, since it is smaller than the sum of its proper divisors (1724958).

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

828450 is a wasteful number, since it uses less digits than its factorization.

828450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 828450 is about 910.1922873767. The cubic root of 828450 is about 93.9194269569.

The spelling of 828450 in words is "eight hundred twenty-eight thousand, four hundred fifty".