480930 has 64 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 112640.

The previous prime is 480929. The next prime is 480937. The reversal of 480930 is 39084.

It is a super-3 number, since 3×480930³ = 333708186781071000, which contains 333 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 480930.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11710 + ... + 11750.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁴⁸⁰⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

480930 is an abundant number, since it is smaller than the sum of its proper divisors (825438).

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

480930 is a wasteful number, since it uses less digits than its factorization.

480930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 480930 is about 693.4911679322. The cubic root of 480930 is about 78.3478872410.

The spelling of 480930 in words is "four hundred eighty thousand, nine hundred thirty".