805484464272 has 160 divisors (see below), whose sum is σ = 2413645516800. Its totient is φ = 256705815168.

The previous prime is 805484464247. The next prime is 805484464273. The reversal of 805484464272 is 272464484508.

It is a happy number.

805484464272 is a `hidden beast` number, since 80 + 5 + 4 + 84 + 464 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (805484464273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23660479 + ... + 23694497.

It is an arithmetic number, because the mean of its divisors is an integer number (15085284480).

Almost surely, 2^805484464272 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 805484464272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206822758400).

805484464272 is an abundant number, since it is smaller than the sum of its proper divisors (1608161052528).

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

805484464272 is a wasteful number, since it uses less digits than its factorization.

805484464272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36442 (or 36430 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 805484464272 in words is "eight hundred five billion, four hundred eighty-four million, four hundred sixty-four thousand, two hundred seventy-two".