480906807 has 8 divisors (see below), whose sum is σ = 641362176. Its totient is φ = 320527992.

The previous prime is 480906791. The next prime is 480906821. The reversal of 480906807 is 708609084.

It is a happy number.

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

It is not a de Polignac number, because 480906807 - 2⁴ = 480906791 is a prime.

It is a super-3 number, since 3×480906807³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480906847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2383 + ... + 31104.

It is an arithmetic number, because the mean of its divisors is an integer number (80170272).

Almost surely, 2^480906807 is an apocalyptic number.

480906807 is a deficient number, since it is larger than the sum of its proper divisors (160455369).

480906807 is a wasteful number, since it uses less digits than its factorization.

480906807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38277.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 480906807 is about 21929.5874790202. The cubic root of 480906807 is about 783.4662777025.

The spelling of 480906807 in words is "four hundred eighty million, nine hundred six thousand, eight hundred seven".