480641 has 12 divisors (see below), whose sum is σ = 593028. Its totient is φ = 387072.

The previous prime is 480587. The next prime is 480647. The reversal of 480641 is 146084.

480641 = T₁₁₁ + T₁₁₂ + ... + T₁₆₁.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 442225 + 38416 = 665^2 + 196^2 .

It is not a de Polignac number, because 480641 - 2¹⁴ = 464257 is a prime.

It is a super-3 number, since 3×480641³ = 333106953396044163, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480641.

It is not an unprimeable number, because it can be changed into a prime (480647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (49419).

2⁴⁸⁰⁶⁴¹ is an apocalyptic number.

It is an amenable number.

480641 is a deficient number, since it is larger than the sum of its proper divisors (112387).

480641 is a wasteful number, since it uses less digits than its factorization.

480641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 480641 is about 693.2827705922. The cubic root of 480641 is about 78.3321905170.

The spelling of 480641 in words is "four hundred eighty thousand, six hundred forty-one".