460160264144 has 160 divisors (see below), whose sum is σ = 1093610004480. Its totient is φ = 183081056256.

The previous prime is 460160264141. The next prime is 460160264147. The reversal of 460160264144 is 441462061064.

It is an interprime number because it is at equal distance from previous prime (460160264141) and next prime (460160264147).

It is a junction number, because it is equal to n+sod(n) for n = 460160264098 and 460160264107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460160264141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117415817 + ... + 117419735.

It is an arithmetic number, because the mean of its divisors is an integer number (6835062528).

Almost surely, 2^460160264144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460160264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546805002240).

460160264144 is an abundant number, since it is smaller than the sum of its proper divisors (633449740336).

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

460160264144 is a wasteful number, since it uses less digits than its factorization.

460160264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 460160264144 in words is "four hundred sixty billion, one hundred sixty million, two hundred sixty-four thousand, one hundred forty-four".