460009227168 has 576 divisors, whose sum is σ = 1505583313920. Its totient is φ = 136028160000.

The previous prime is 460009227091. The next prime is 460009227169. The reversal of 460009227168 is 861722900064.

It is a happy number.

460009227168 is a `hidden beast` number, since 4 + 600 + 0 + 9 + 2 + 27 + 16 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (460009227169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 765406068 + ... + 765406668.

It is an arithmetic number, because the mean of its divisors is an integer number (2613859920).

Almost surely, 2^460009227168 is an apocalyptic number.

460009227168 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 460009227168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752791656960).

460009227168 is an abundant number, since it is smaller than the sum of its proper divisors (1045574086752).

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

460009227168 is a wasteful number, since it uses less digits than its factorization.

460009227168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 460009227168 in words is "four hundred sixty billion, nine million, two hundred twenty-seven thousand, one hundred sixty-eight".