480667141 has 8 divisors (see below), whose sum is σ = 497489400. Its totient is φ = 463861440.

The previous prime is 480667127. The next prime is 480667151. The reversal of 480667141 is 141766084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136900 + 480530241 = 370^2 + 21921^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 480667141 - 2⁷ = 480667013 is a prime.

It is a super-3 number, since 3×480667141³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480667141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480667151) 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, 97975 + ... + 102763.

It is an arithmetic number, because the mean of its divisors is an integer number (62186175).

Almost surely, 2^480667141 is an apocalyptic number.

It is an amenable number.

480667141 is a deficient number, since it is larger than the sum of its proper divisors (16822259).

480667141 is a wasteful number, since it uses less digits than its factorization.

480667141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 480667141 is about 21924.1223541559. The cubic root of 480667141 is about 783.3361059607.

The spelling of 480667141 in words is "four hundred eighty million, six hundred sixty-seven thousand, one hundred forty-one".