460418620608 has 448 divisors, whose sum is σ = 1489164042240. Its totient is φ = 139024512000.

The previous prime is 460418620559. The next prime is 460418620621. The reversal of 460418620608 is 806026814064.

460418620608 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 18 + 6 + 20 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57903033 + ... + 57910983.

It is an arithmetic number, because the mean of its divisors is an integer number (3324026880).

Almost surely, 2^460418620608 is an apocalyptic number.

460418620608 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 460418620608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744582021120).

460418620608 is an abundant number, since it is smaller than the sum of its proper divisors (1028745421632).

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

460418620608 is a wasteful number, since it uses less digits than its factorization.

460418620608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 460418620608 in words is "four hundred sixty billion, four hundred eighteen million, six hundred twenty thousand, six hundred eight".