460410912 has 192 divisors, whose sum is σ = 1460592000. Its totient is φ = 140258304.

The previous prime is 460410901. The next prime is 460410917. The reversal of 460410912 is 219014064.

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

It is not an unprimeable number, because it can be changed into a prime (460410917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010414 + ... + 2010642.

It is an arithmetic number, because the mean of its divisors is an integer number (7607250).

Almost surely, 2^460410912 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 460410912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730296000).

460410912 is an abundant number, since it is smaller than the sum of its proper divisors (1000181088).

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

460410912 is a wasteful number, since it uses less digits than its factorization.

460410912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 460410912 is about 21457.1878865801. The cubic root of 460410912 is about 772.1740504414.

Adding to 460410912 its reverse (219014064), we get a palindrome (679424976).

The spelling of 460410912 in words is "four hundred sixty million, four hundred ten thousand, nine hundred twelve".