460477774064 has 160 divisors (see below), whose sum is σ = 1169873694720. Its totient is φ = 170343014400.

The previous prime is 460477774051. The next prime is 460477774069.

460477774064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460477774069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910432 + ... + 2137920.

It is an arithmetic number, because the mean of its divisors is an integer number (7311710592).

Almost surely, 2^460477774064 is an apocalyptic number.

460477774064 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 460477774064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584936847360).

460477774064 is an abundant number, since it is smaller than the sum of its proper divisors (709395920656).

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

460477774064 is a wasteful number, since it uses less digits than its factorization.

460477774064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227599 (or 227593 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 56.

The spelling of 460477774064 in words is "four hundred sixty billion, four hundred seventy-seven million, seven hundred seventy-four thousand, sixty-four".