462413314264 has 128 divisors (see below), whose sum is σ = 1056176755200. Its totient is φ = 187059456000.

The previous prime is 462413314241. The next prime is 462413314289.

462413314264 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 15362349 + ... + 15392419.

It is an arithmetic number, because the mean of its divisors is an integer number (8251380900).

Almost surely, 2^462413314264 is an apocalyptic number.

462413314264 is a gapful number since it is divisible by the number (44) 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 462413314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528088377600).

462413314264 is an abundant number, since it is smaller than the sum of its proper divisors (593763440936).

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

462413314264 is a wasteful number, since it uses less digits than its factorization.

462413314264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30665 (or 30661 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 462413 and 314264, that added together give a palindrome (776677).

The spelling of 462413314264 in words is "four hundred sixty-two billion, four hundred thirteen million, three hundred fourteen thousand, two hundred sixty-four".