460522608 has 320 divisors, whose sum is σ = 1599897600. Its totient is φ = 110730240.

The previous prime is 460522607. The next prime is 460522631. The reversal of 460522608 is 806225064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460522607) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2572663 + ... + 2572841.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^460522608 is an apocalyptic number.

460522608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460522608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

460522608 is an abundant number, since it is smaller than the sum of its proper divisors (1139374992).

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

460522608 is a wasteful number, since it uses less digits than its factorization.

460522608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 460522608 is about 21459.7904929195. The cubic root of 460522608 is about 772.2364887089.

The spelling of 460522608 in words is "four hundred sixty million, five hundred twenty-two thousand, six hundred eight".