482505757200 has 720 divisors, whose sum is σ = 1856451804480. Its totient is φ = 119923752960.

The previous prime is 482505757193. The next prime is 482505757219. The reversal of 482505757200 is 2757505284.

482505757200 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 0 + 575 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×482505757200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176805436 + ... + 176808164.

It is an arithmetic number, because the mean of its divisors is an integer number (2578405284).

Almost surely, 2^482505757200 is an apocalyptic number.

482505757200 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 482505757200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928225902240).

482505757200 is an abundant number, since it is smaller than the sum of its proper divisors (1373946047280).

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

482505757200 is a wasteful number, since it uses less digits than its factorization.

482505757200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 482505757200 in words is "four hundred eighty-two billion, five hundred five million, seven hundred fifty-seven thousand, two hundred".