480864801 has 8 divisors (see below), whose sum is σ = 645766240. Its totient is φ = 318269952.

The previous prime is 480864767. The next prime is 480864803. The reversal of 480864801 is 108468084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 480864801 - 2²¹ = 478767649 is a prime.

It is a super-3 number, since 3×480864801³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

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 480864801.

It is not an unprimeable number, because it can be changed into a prime (480864803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576160 + ... + 576993.

It is an arithmetic number, because the mean of its divisors is an integer number (80720780).

Almost surely, 2^480864801 is an apocalyptic number.

It is an amenable number.

480864801 is a deficient number, since it is larger than the sum of its proper divisors (164901439).

480864801 is a wasteful number, since it uses less digits than its factorization.

480864801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153295.

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 480864801 is about 21928.6297109509. The cubic root of 480864801 is about 783.4434657687.

The spelling of 480864801 in words is "four hundred eighty million, eight hundred sixty-four thousand, eight hundred one".