460479744 has 216 divisors, whose sum is σ = 1427447840. Its totient is φ = 142331904.

The previous prime is 460479709. The next prime is 460479787. The reversal of 460479744 is 447974064.

It is a self number, because there is not a number n which added to its sum of digits gives 460479744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932914 + ... + 2933070.

Almost surely, 2^460479744 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 460479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713723920).

460479744 is an abundant number, since it is smaller than the sum of its proper divisors (966968096).

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

460479744 is a wasteful number, since it uses less digits than its factorization.

460479744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 460479744 is about 21458.7917646824. The cubic root of 460479744 is about 772.2125288487.

It can be divided in two parts, 4604 and 79744, that added together give a palindrome (84348).

The spelling of 460479744 in words is "four hundred sixty million, four hundred seventy-nine thousand, seven hundred forty-four".