462404660406 has 64 divisors (see below), whose sum is σ = 1004097110016. Its totient is φ = 141114960000.

The previous prime is 462404660383. The next prime is 462404660407. The reversal of 462404660406 is 604066404264.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462404660407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50525931 + ... + 50535081.

It is an arithmetic number, because the mean of its divisors is an integer number (15689017344).

Almost surely, 2^462404660406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462404660406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502048555008).

462404660406 is an abundant number, since it is smaller than the sum of its proper divisors (541692449610).

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

462404660406 is a wasteful number, since it uses less digits than its factorization.

462404660406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14397.

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 462404660406 in words is "four hundred sixty-two billion, four hundred four million, six hundred sixty thousand, four hundred six".