463239271200 has 144 divisors (see below), whose sum is σ = 1510810176960. Its totient is φ = 123287454720.

The previous prime is 463239271199. The next prime is 463239271247. The reversal of 463239271200 is 2172932364.

463239271200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031997 + ... + 1411203.

It is an arithmetic number, because the mean of its divisors is an integer number (10491737340).

Almost surely, 2^463239271200 is an apocalyptic number.

463239271200 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 463239271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755405088480).

463239271200 is an abundant number, since it is smaller than the sum of its proper divisors (1047570905760).

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

463239271200 is a wasteful number, since it uses less digits than its factorization.

463239271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379739 (or 379726 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 463239271200 in words is "four hundred sixty-three billion, two hundred thirty-nine million, two hundred seventy-one thousand, two hundred".