460231200 has 576 divisors, whose sum is σ = 1968624000. Its totient is φ = 102297600.

The previous prime is 460231199. The next prime is 460231207. The reversal of 460231200 is 2132064.

It is a happy number.

460231200 is a `hidden beast` number, since 460 + 2 + 3 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (460231207) 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 95 ways as a sum of consecutive naturals, for example, 3088726 + ... + 3088874.

It is an arithmetic number, because the mean of its divisors is an integer number (3417750).

Almost surely, 2^460231200 is an apocalyptic number.

460231200 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 460231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

460231200 is an abundant number, since it is smaller than the sum of its proper divisors (1508392800).

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

460231200 is a wasteful number, since it uses less digits than its factorization.

460231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 460231200 is about 21452.9997902391. Note that the first 3 decimals coincide. The cubic root of 460231200 is about 772.0735699080.

Adding to 460231200 its reverse (2132064), we get a palindrome (462363264).

The spelling of 460231200 in words is "four hundred sixty million, two hundred thirty-one thousand, two hundred".