463230363796200 has 4032 divisors, whose sum is σ = 2220693825873600. Its totient is φ = 88818262041600.

The previous prime is 463230363796199. The next prime is 463230363796223. The reversal of 463230363796200 is 2697363032364.

463230363796200 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 3 + 0 + 3 + 6 + 3 + 7 + 9 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 172653880059 + ... + 172653882741.

It is an arithmetic number, because the mean of its divisors is an integer number (550767317925).

Almost surely, 2^{463230363796200} is an apocalyptic number.

463230363796200 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 463230363796200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110346912936800).

463230363796200 is an abundant number, since it is smaller than the sum of its proper divisors (1757463462077400).

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

463230363796200 is a wasteful number, since it uses less digits than its factorization.

463230363796200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

The spelling of 463230363796200 in words is "four hundred sixty-three trillion, two hundred thirty billion, three hundred sixty-three million, seven hundred ninety-six thousand, two hundred".