480645 has 24 divisors (see below), whose sum is σ = 909792. Its totient is φ = 232800.

The previous prime is 480587. The next prime is 480647. The reversal of 480645 is 546084.

It is not a de Polignac number, because 480645 - 2⁷ = 480517 is a prime.

It is a super-3 number, since 3×480645³ = 333115270033008375, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 15.

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 480645.

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 23 ways as a sum of consecutive naturals, for example, 10 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (37908).

2⁴⁸⁰⁶⁴⁵ is an apocalyptic number.

480645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480645 is a deficient number, since it is larger than the sum of its proper divisors (429147).

480645 is a wasteful number, since it uses less digits than its factorization.

480645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 480645 is about 693.2856554120. The cubic root of 480645 is about 78.3324078156.

It can be divided in two parts, 4806 and 45, that added together give a triangular number (4851 = T₉₈).

The spelling of 480645 in words is "four hundred eighty thousand, six hundred forty-five".