820523448 has 96 divisors (see below), whose sum is σ = 2314447200. Its totient is φ = 262289664.

The previous prime is 820523423. The next prime is 820523453. The reversal of 820523448 is 844325028.

820523448 is a `hidden beast` number, since 8 + 205 + 2 + 3 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326565 + ... + 329067.

It is an arithmetic number, because the mean of its divisors is an integer number (24108825).

Almost surely, 2^820523448 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 820523448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157223600).

820523448 is an abundant number, since it is smaller than the sum of its proper divisors (1493923752).

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

820523448 is a wasteful number, since it uses less digits than its factorization.

820523448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 820523448 is about 28644.7804669542. The cubic root of 820523448 is about 936.1892834376.

The spelling of 820523448 in words is "eight hundred twenty million, five hundred twenty-three thousand, four hundred forty-eight".