460741014 has 72 divisors (see below), whose sum is σ = 1078814520. Its totient is φ = 145746216.

The previous prime is 460740997. The next prime is 460741019. The reversal of 460741014 is 410147064.

460741014 is a `hidden beast` number, since 4 + 607 + 41 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460741019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3627819 + ... + 3627945.

It is an arithmetic number, because the mean of its divisors is an integer number (14983535).

Almost surely, 2^460741014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460741014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539407260).

460741014 is an abundant number, since it is smaller than the sum of its proper divisors (618073506).

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

460741014 is a wasteful number, since it uses less digits than its factorization.

460741014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 460741014 is about 21464.8786160090. The cubic root of 460741014 is about 772.3585488957.

Adding to 460741014 its reverse (410147064), we get a palindrome (870888078).

The spelling of 460741014 in words is "four hundred sixty million, seven hundred forty-one thousand, fourteen".