462030748704 has 192 divisors, whose sum is σ = 1542168391680. Its totient is φ = 131831712000.

The previous prime is 462030748603. The next prime is 462030748759. The reversal of 462030748704 is 407847030264.

It is a self number, because there is not a number n which added to its sum of digits gives 462030748704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4491187 + ... + 4592909.

It is an arithmetic number, because the mean of its divisors is an integer number (8032127040).

Almost surely, 2^462030748704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462030748704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771084195840).

462030748704 is an abundant number, since it is smaller than the sum of its proper divisors (1080137642976).

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

462030748704 is a wasteful number, since it uses less digits than its factorization.

462030748704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102500 (or 102486 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

Adding to 462030748704 its reverse (407847030264), we get a palindrome (869877778968).

The spelling of 462030748704 in words is "four hundred sixty-two billion, thirty million, seven hundred forty-eight thousand, seven hundred four".