463705350000 has 240 divisors, whose sum is σ = 1499877751680. Its totient is φ = 123440800000.

The previous prime is 463705349993. The next prime is 463705350029. The reversal of 463705350000 is 53507364.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98847655 + ... + 98852345.

It is an arithmetic number, because the mean of its divisors is an integer number (6249490632).

Almost surely, 2^463705350000 is an apocalyptic number.

463705350000 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 463705350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749938875840).

463705350000 is an abundant number, since it is smaller than the sum of its proper divisors (1036172401680).

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

463705350000 is an equidigital number, since it uses as much as digits as its factorization.

463705350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

Adding to 463705350000 its reverse (53507364), we get a palindrome (463758857364).

The spelling of 463705350000 in words is "four hundred sixty-three billion, seven hundred five million, three hundred fifty thousand".