460608363810 has 336 divisors, whose sum is σ = 1450320928056. Its totient is φ = 104969281536.

The previous prime is 460608363793. The next prime is 460608363811. The reversal of 460608363810 is 18363806064.

460608363810 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 0 + 8 + 3 + 638 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235383136569 + 225225227241 = 485163^2 + 474579^2 .

It is a super-2 number, since 2×460608363810² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (460608363811) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 133237602 + ... + 133241058.

Almost surely, 2^460608363810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460608363810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725160464028).

460608363810 is an abundant number, since it is smaller than the sum of its proper divisors (989712564246).

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

460608363810 is a wasteful number, since it uses less digits than its factorization.

460608363810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 460608363810 in words is "four hundred sixty billion, six hundred eight million, three hundred sixty-three thousand, eight hundred ten".