460244442064 has 80 divisors (see below), whose sum is σ = 983008529856. Its totient is φ = 207006848000.

The previous prime is 460244442061. The next prime is 460244442089.

It is a happy number.

460244442064 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460244442061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33892044 + ... + 33905620.

Almost surely, 2^460244442064 is an apocalyptic number.

460244442064 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 460244442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491504264928).

460244442064 is an abundant number, since it is smaller than the sum of its proper divisors (522764087792).

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

460244442064 is a wasteful number, since it uses less digits than its factorization.

460244442064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

The spelling of 460244442064 in words is "four hundred sixty billion, two hundred forty-four million, four hundred forty-two thousand, sixty-four".