804660480 has 432 divisors, whose sum is σ = 3124867200. Its totient is φ = 197074944.

The previous prime is 804660463. The next prime is 804660491. The reversal of 804660480 is 84066408.

804660480 is a `hidden beast` number, since 8 + 0 + 46 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043421 + ... + 4043619.

Almost surely, 2^804660480 is an apocalyptic number.

804660480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562433600).

804660480 is an abundant number, since it is smaller than the sum of its proper divisors (2320206720).

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

804660480 is a wasteful number, since it uses less digits than its factorization.

804660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 804660480 is about 28366.5380333942. The cubic root of 804660480 is about 930.1169467919.

The spelling of 804660480 in words is "eight hundred four million, six hundred sixty thousand, four hundred eighty".