460265562064 has 120 divisors (see below), whose sum is σ = 1153017371808. Its totient is φ = 175940593920.

The previous prime is 460265562023. The next prime is 460265562179.

460265562064 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 23 ways as a sum of consecutive naturals, for example, 46422 + ... + 960565.

Almost surely, 2^460265562064 is an apocalyptic number.

460265562064 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 460265562064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576508685904).

460265562064 is an abundant number, since it is smaller than the sum of its proper divisors (692751809744).

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

460265562064 is a wasteful number, since it uses less digits than its factorization.

460265562064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007073 (or 1007060 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 460265562064 in words is "four hundred sixty billion, two hundred sixty-five million, five hundred sixty-two thousand, sixty-four".