463291381728 has 288 divisors, whose sum is σ = 1567151599104. Its totient is φ = 131886807552.

The previous prime is 463291381687. The next prime is 463291381793. The reversal of 463291381728 is 827183192364.

It is a happy number.

463291381728 is a `hidden beast` number, since 463 + 2 + 9 + 1 + 3 + 8 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15062301 + ... + 15093027.

It is an arithmetic number, because the mean of its divisors is an integer number (5441498608).

Almost surely, 2^463291381728 is an apocalyptic number.

463291381728 is a gapful number since it is divisible by the number (48) 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 463291381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783575799552).

463291381728 is an abundant number, since it is smaller than the sum of its proper divisors (1103860217376).

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

463291381728 is a wasteful number, since it uses less digits than its factorization.

463291381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31036 (or 31016 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 463291381728 in words is "four hundred sixty-three billion, two hundred ninety-one million, three hundred eighty-one thousand, seven hundred twenty-eight".