480912817 has 32 divisors (see below), whose sum is σ = 616771584. Its totient is φ = 364089600.

The previous prime is 480912797. The next prime is 480912833. The reversal of 480912817 is 718219084.

It is a happy number.

It is not a de Polignac number, because 480912817 - 2⁷ = 480912689 is a prime.

It is a super-3 number, since 3×480912817³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480912817.

It is not an unprimeable number, because it can be changed into a prime (480912317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115592 + ... + 1116022.

It is an arithmetic number, because the mean of its divisors is an integer number (19274112).

Almost surely, 2^480912817 is an apocalyptic number.

It is an amenable number.

480912817 is a deficient number, since it is larger than the sum of its proper divisors (135858767).

480912817 is a wasteful number, since it uses less digits than its factorization.

480912817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829.

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 480912817 is about 21929.7245080735. The cubic root of 480912817 is about 783.4695414067.

The spelling of 480912817 in words is "four hundred eighty million, nine hundred twelve thousand, eight hundred seventeen".