820488504 has 64 divisors (see below), whose sum is σ = 2289767040. Its totient is φ = 242847360.

The previous prime is 820488463. The next prime is 820488569. The reversal of 820488504 is 405884028.

820488504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24787 + ... + 47490.

It is an arithmetic number, because the mean of its divisors is an integer number (35777610).

Almost surely, 2^820488504 is an apocalyptic number.

It is an amenable number.

820488504 is an abundant number, since it is smaller than the sum of its proper divisors (1469278536).

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

820488504 is a wasteful number, since it uses less digits than its factorization.

820488504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72340 (or 72336 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 820488504 is about 28644.1705064050. The cubic root of 820488504 is about 936.1759932780.

The spelling of 820488504 in words is "eight hundred twenty million, four hundred eighty-eight thousand, five hundred four".