809481504 has 96 divisors (see below), whose sum is σ = 2387919744. Its totient is φ = 238233600.

The previous prime is 809481499. The next prime is 809481509. The reversal of 809481504 is 405184908.

It is an interprime number because it is at equal distance from previous prime (809481499) and next prime (809481509).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (809481509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14604 + ... + 42804.

It is an arithmetic number, because the mean of its divisors is an integer number (24874164).

Almost surely, 2^809481504 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 809481504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193959872).

809481504 is an abundant number, since it is smaller than the sum of its proper divisors (1578438240).

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

809481504 is a wasteful number, since it uses less digits than its factorization.

809481504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28250 (or 28242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 809481504 is about 28451.3884371220. The cubic root of 809481504 is about 931.9708096244.

It can be divided in two parts, 8094 and 81504, that added together give a palindrome (89598).

The spelling of 809481504 in words is "eight hundred nine million, four hundred eighty-one thousand, five hundred four".