482518100 has 54 divisors (see below), whose sum is σ = 1082145582. Its totient is φ = 186744000.

The previous prime is 482518079. The next prime is 482518103. The reversal of 482518100 is 1815284.

It can be written as a sum of positive squares in 3 ways, for example, as 105925264 + 376592836 = 10292^2 + 19406^2 .

It is a super-2 number, since 2×482518100² = 465647433655220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482518103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93590 + ... + 98610.

It is an arithmetic number, because the mean of its divisors is an integer number (20039733).

Almost surely, 2^482518100 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 482518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541072791).

482518100 is an abundant number, since it is smaller than the sum of its proper divisors (599627482).

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

482518100 is a wasteful number, since it uses less digits than its factorization.

482518100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 482518100 is about 21966.2946351905. The cubic root of 482518100 is about 784.3403115298.

The spelling of 482518100 in words is "four hundred eighty-two million, five hundred eighteen thousand, one hundred".