820546440 has 128 divisors (see below), whose sum is σ = 2904145920. Its totient is φ = 181497600.

The previous prime is 820546423. The next prime is 820546487. The reversal of 820546440 is 44645028.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10285 + ... + 41795.

It is an arithmetic number, because the mean of its divisors is an integer number (22688640).

Almost surely, 2^820546440 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 820546440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452072960).

820546440 is an abundant number, since it is smaller than the sum of its proper divisors (2083599480).

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

820546440 is a wasteful number, since it uses less digits than its factorization.

820546440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31563 (or 31559 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 820546440 is about 28645.1817938026. The cubic root of 820546440 is about 936.1980277186.

It can be divided in two parts, 8205 and 46440, that added together give a palindrome (54645).

The spelling of 820546440 in words is "eight hundred twenty million, five hundred forty-six thousand, four hundred forty".