811441464 has 64 divisors (see below), whose sum is σ = 2081548800. Its totient is φ = 263476224.

The previous prime is 811441451. The next prime is 811441507. The reversal of 811441464 is 464144118.

It is a happy number.

811441464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 254472 + ... + 257640.

It is an arithmetic number, because the mean of its divisors is an integer number (32524200).

Almost surely, 2^811441464 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 811441464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040774400).

811441464 is an abundant number, since it is smaller than the sum of its proper divisors (1270107336).

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

811441464 is a wasteful number, since it uses less digits than its factorization.

811441464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3448 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 811441464 is about 28485.8116261412. The cubic root of 811441464 is about 932.7223825913.

The spelling of 811441464 in words is "eight hundred eleven million, four hundred forty-one thousand, four hundred sixty-four".