480845 has 8 divisors (see below), whose sum is σ = 611064. Its totient is φ = 361984.

The previous prime is 480839. The next prime is 480853. The reversal of 480845 is 548084.

480845 = T₆₁ + T₆₂ + ... + T₁₄₅.

It can be written as a sum of positive squares in 4 ways, for example, as 26569 + 454276 = 163^2 + 674^2 .

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 480845 - 2¹⁰ = 479821 is a prime.

It is a super-3 number, since 3×480845³ = 333531278398053375, which contains 333 as substring.

It is a Duffinian number.

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 480845.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (76383).

2⁴⁸⁰⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

480845 is a deficient number, since it is larger than the sum of its proper divisors (130219).

480845 is a wasteful number, since it uses less digits than its factorization.

480845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679.

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 480845 is about 693.4298810983. The cubic root of 480845 is about 78.3432712104.

The spelling of 480845 in words is "four hundred eighty thousand, eight hundred forty-five".