480900500 has 48 divisors (see below), whose sum is σ = 1052460864. Its totient is φ = 191962400.

The previous prime is 480900493. The next prime is 480900503. The reversal of 480900500 is 5009084.

It is a super-3 number, since 3×480900500³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480900500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480900503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412919 + ... + 414081.

It is an arithmetic number, because the mean of its divisors is an integer number (21926268).

Almost surely, 2^480900500 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 480900500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526230432).

480900500 is an abundant number, since it is smaller than the sum of its proper divisors (571560364).

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

480900500 is a wasteful number, since it uses less digits than its factorization.

480900500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 480900500 is about 21929.4436773941. The cubic root of 480900500 is about 783.4628526845.

Adding to 480900500 its reverse (5009084), we get a palindrome (485909584).

The spelling of 480900500 in words is "four hundred eighty million, nine hundred thousand, five hundred".