460313053200 has 3360 divisors, whose sum is σ = 2371658204160. Its totient is φ = 82637107200.

The previous prime is 460313053183. The next prime is 460313053223. The reversal of 460313053200 is 2350313064.

It is a happy number.

460313053200 is a `hidden beast` number, since 4 + 6 + 0 + 31 + 305 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 5545940359 + ... + 5545940441.

It is an arithmetic number, because the mean of its divisors is an integer number (705850656).

Almost surely, 2^460313053200 is an apocalyptic number.

460313053200 is a gapful number since it is divisible by the number (40) 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 460313053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185829102080).

460313053200 is an abundant number, since it is smaller than the sum of its proper divisors (1911345150960).

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

460313053200 is a wasteful number, since it uses less digits than its factorization.

460313053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 460313053200 its reverse (2350313064), we get a palindrome (462663366264).

The spelling of 460313053200 in words is "four hundred sixty billion, three hundred thirteen million, fifty-three thousand, two hundred".