463524550272 has 640 divisors, whose sum is σ = 1708255232640. Its totient is φ = 121732595712.

The previous prime is 463524550271. The next prime is 463524550327. The reversal of 463524550272 is 272055425364.

463524550272 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 24 + 550 + 2 + 72 = 666.

463524550272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (463524550271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53048688 + ... + 53057424.

It is an arithmetic number, because the mean of its divisors is an integer number (2669148801).

Almost surely, 2^463524550272 is an apocalyptic number.

463524550272 is a gapful number since it is divisible by the number (42) 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 463524550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854127616320).

463524550272 is an abundant number, since it is smaller than the sum of its proper divisors (1244730682368).

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

463524550272 is a wasteful number, since it uses less digits than its factorization.

463524550272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 8809 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 463524550272 in words is "four hundred sixty-three billion, five hundred twenty-four million, five hundred fifty thousand, two hundred seventy-two".