482803729200 has 720 divisors, whose sum is σ = 1883788179840. Its totient is φ = 117375298560.

The previous prime is 482803729189. The next prime is 482803729211. The reversal of 482803729200 is 2927308284.

482803729200 is a `hidden beast` number, since 482 + 80 + 3 + 7 + 2 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (482803729189) and next prime (482803729211).

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

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, 151490007 + ... + 151493193.

It is an arithmetic number, because the mean of its divisors is an integer number (2616372472).

Almost surely, 2^482803729200 is an apocalyptic number.

482803729200 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 482803729200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941894089920).

482803729200 is an abundant number, since it is smaller than the sum of its proper divisors (1400984450640).

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

482803729200 is a wasteful number, since it uses less digits than its factorization.

482803729200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 482803729200 in words is "four hundred eighty-two billion, eight hundred three million, seven hundred twenty-nine thousand, two hundred".