480601 has 4 divisors (see below), whose sum is σ = 524304. Its totient is φ = 436900.

The previous prime is 480587. The next prime is 480647. The reversal of 480601 is 106084.

480601 = 204² + 205² + ... + 214².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 480601 - 2⁵ = 480569 is a prime.

It is a super-3 number, since 3×480601³ = 333023794639565403, which contains 333 as substring.

480601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (480661) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 21835 + ... + 21856.

It is an arithmetic number, because the mean of its divisors is an integer number (131076).

2⁴⁸⁰⁶⁰¹ is an apocalyptic number.

It is an amenable number.

480601 is a deficient number, since it is larger than the sum of its proper divisors (43703).

480601 is a wasteful number, since it uses less digits than its factorization.

480601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43702.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 480601 is about 693.2539217343. The cubic root of 480601 is about 78.3300174644.

Adding to 480601 its reverse (106084), we get a palindrome (586685).

It can be divided in two parts, 480 and 601, that added together give a triangular number (1081 = T₄₆).

The spelling of 480601 in words is "four hundred eighty thousand, six hundred one".