480811773 has 8 divisors (see below), whose sum is σ = 690396448. Its totient is φ = 295884144.

The previous prime is 480811763. The next prime is 480811783. The reversal of 480811773 is 377118084.

It is an interprime number because it is at equal distance from previous prime (480811763) and next prime (480811783).

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

It is not a de Polignac number, because 480811773 - 2⁵ = 480811741 is a prime.

It is a super-3 number, since 3×480811773³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 12328507 = 480811773 / (4 + 8 + 0 + 8 + 1 + 1 + 7 + 7 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480811733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6164215 + ... + 6164292.

It is an arithmetic number, because the mean of its divisors is an integer number (86299556).

Almost surely, 2^480811773 is an apocalyptic number.

It is an amenable number.

480811773 is a deficient number, since it is larger than the sum of its proper divisors (209584675).

480811773 is a wasteful number, since it uses less digits than its factorization.

480811773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328523.

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 480811773 is about 21927.4205733369. The cubic root of 480811773 is about 783.4146662896.

The spelling of 480811773 in words is "four hundred eighty million, eight hundred eleven thousand, seven hundred seventy-three".