460315744 has 96 divisors (see below), whose sum is σ = 1104316416. Its totient is φ = 184588800.

The previous prime is 460315741. The next prime is 460315763. The reversal of 460315744 is 447513064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460315741) 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 15 ways as a sum of consecutive naturals, for example, 241194 + ... + 243094.

It is an arithmetic number, because the mean of its divisors is an integer number (11503296).

Almost surely, 2^460315744 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 460315744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552158208).

460315744 is an abundant number, since it is smaller than the sum of its proper divisors (644000672).

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

460315744 is a wasteful number, since it uses less digits than its factorization.

460315744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 460315744 is about 21454.9701467982. The cubic root of 460315744 is about 772.1208433881.

The spelling of 460315744 in words is "four hundred sixty million, three hundred fifteen thousand, seven hundred forty-four".