482144938200 has 288 divisors, whose sum is σ = 1691172606240. Its totient is φ = 122867712000.

The previous prime is 482144938153. The next prime is 482144938259. The reversal of 482144938200 is 2839441284.

482144938200 is a `hidden beast` number, since 4 + 82 + 1 + 4 + 493 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50213400 + ... + 50223000.

It is an arithmetic number, because the mean of its divisors is an integer number (5872127105).

Almost surely, 2^482144938200 is an apocalyptic number.

482144938200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482144938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845586303120).

482144938200 is an abundant number, since it is smaller than the sum of its proper divisors (1209027668040).

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

482144938200 is a wasteful number, since it uses less digits than its factorization.

482144938200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 482144938200 in words is "four hundred eighty-two billion, one hundred forty-four million, nine hundred thirty-eight thousand, two hundred".