828464 has 40 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 327168.

The previous prime is 828449. The next prime is 828517. The reversal of 828464 is 464828.

828464 = T₁₀₅ + T₁₀₆ + ... + T₁₈₂.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 828464.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1172 + ... + 1740.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁸²⁸⁴⁶⁴ 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 828464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

828464 is an abundant number, since it is smaller than the sum of its proper divisors (1150576).

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

828464 is a wasteful number, since it uses less digits than its factorization.

828464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 828464 is about 910.1999780268. The cubic root of 828464 is about 93.9199560030.

The spelling of 828464 in words is "eight hundred twenty-eight thousand, four hundred sixty-four".