820442464 has 12 divisors (see below), whose sum is σ = 1615246164. Its totient is φ = 410221216.

The previous prime is 820442461. The next prime is 820442527. The reversal of 820442464 is 464244028.

820442464 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 not an unprimeable number, because it can be changed into a prime (820442461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12819382 + ... + 12819445.

It is an arithmetic number, because the mean of its divisors is an integer number (134603847).

Almost surely, 2^820442464 is an apocalyptic number.

It is an amenable number.

820442464 is a deficient number, since it is larger than the sum of its proper divisors (794803700).

820442464 is a wasteful number, since it uses less digits than its factorization.

820442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638837 (or 25638829 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 820442464 is about 28643.3668412078. The cubic root of 820442464 is about 936.1584824298.

The spelling of 820442464 in words is "eight hundred twenty million, four hundred forty-two thousand, four hundred sixty-four".