480636 has 54 divisors (see below), whose sum is σ = 1332240. Its totient is φ = 146016.

The previous prime is 480587. The next prime is 480647. The reversal of 480636 is 636084.

It is a super-3 number, since 3×480636³ = 333096557794498368, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

480636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6045 + ... + 6123.

2⁴⁸⁰⁶³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666120).

480636 is an abundant number, since it is smaller than the sum of its proper divisors (851604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480636 is a wasteful number, since it uses less digits than its factorization.

480636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 480636 is about 693.2791645506. The cubic root of 480636 is about 78.3319188920.

The spelling of 480636 in words is "four hundred eighty thousand, six hundred thirty-six".