480641805 has 48 divisors (see below), whose sum is σ = 953671680. Its totient is φ = 219366144.

The previous prime is 480641801. The next prime is 480641851. The reversal of 480641805 is 508146084.

480641805 is a `hidden beast` number, since 4 + 8 + 0 + 641 + 8 + 0 + 5 = 666.

It is not a de Polignac number, because 480641805 - 2² = 480641801 is a prime.

It is a super-3 number, since 3×480641805³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480641805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480641801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375156 + ... + 376434.

It is an arithmetic number, because the mean of its divisors is an integer number (19868160).

Almost surely, 2^480641805 is an apocalyptic number.

480641805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480641805 is a deficient number, since it is larger than the sum of its proper divisors (473029875).

480641805 is a wasteful number, since it uses less digits than its factorization.

480641805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480641805 is about 21923.5445354988. The cubic root of 480641805 is about 783.3223424845.

Adding to 480641805 its reverse (508146084), we get a palindrome (988787889).

The spelling of 480641805 in words is "four hundred eighty million, six hundred forty-one thousand, eight hundred five".