820464468 has 24 divisors (see below), whose sum is σ = 1915716768. Its totient is φ = 273302496.

The previous prime is 820464461. The next prime is 820464481. The reversal of 820464468 is 864464028.

820464468 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 (820464461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4171 + ... + 40722.

It is an arithmetic number, because the mean of its divisors is an integer number (79821532).

Almost surely, 2^820464468 is an apocalyptic number.

It is an amenable number.

820464468 is an abundant number, since it is smaller than the sum of its proper divisors (1095252300).

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

820464468 is a wasteful number, since it uses less digits than its factorization.

820464468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46423 (or 46421 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 820464468 is about 28643.7509415230. The cubic root of 820464468 is about 936.1668515103.

The spelling of 820464468 in words is "eight hundred twenty million, four hundred sixty-four thousand, four hundred sixty-eight".