820042460 has 48 divisors (see below), whose sum is σ = 1804723200. Its totient is φ = 312400704.

The previous prime is 820042453. The next prime is 820042493. The reversal of 820042460 is 64240028.

820042460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 106211 + ... + 113669.

It is an arithmetic number, because the mean of its divisors is an integer number (37598400).

Almost surely, 2^820042460 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 820042460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902361600).

820042460 is an abundant number, since it is smaller than the sum of its proper divisors (984680740).

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

820042460 is a wasteful number, since it uses less digits than its factorization.

820042460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 820042460 is about 28636.3835007146. The cubic root of 820042460 is about 936.0063173777.

Adding to 820042460 its reverse (64240028), we get a palindrome (884282488).

The spelling of 820042460 in words is "eight hundred twenty million, forty-two thousand, four hundred sixty".