460552255064 has 96 divisors (see below), whose sum is σ = 957395712000. Its totient is φ = 207533430720.

The previous prime is 460552255061. The next prime is 460552255103.

460552255064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460552255061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110734217 + ... + 110738375.

It is an arithmetic number, because the mean of its divisors is an integer number (9972872000).

Almost surely, 2^460552255064 is an apocalyptic number.

460552255064 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 460552255064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478697856000).

460552255064 is an abundant number, since it is smaller than the sum of its proper divisors (496843456936).

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

460552255064 is a wasteful number, since it uses less digits than its factorization.

460552255064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 460552255064 in words is "four hundred sixty billion, five hundred fifty-two million, two hundred fifty-five thousand, sixty-four".