460668200 has 48 divisors (see below), whose sum is σ = 1073352060. Its totient is φ = 183872000.

The previous prime is 460668151. The next prime is 460668211. The reversal of 460668200 is 2866064.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 197514916 + 263153284 = 14054^2 + 16222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101990 + ... + 106410.

Almost surely, 2^460668200 is an apocalyptic number.

460668200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460668200 is an abundant number, since it is smaller than the sum of its proper divisors (612683860).

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

460668200 is a wasteful number, since it uses less digits than its factorization.

460668200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 460668200 is about 21463.1824294535. The cubic root of 460668200 is about 772.3178597475.

The spelling of 460668200 in words is "four hundred sixty million, six hundred sixty-eight thousand, two hundred".