461472200 has 180 divisors, whose sum is σ = 1293347745. Its totient is φ = 153115200.

The previous prime is 461472181. The next prime is 461472223. The reversal of 461472200 is 2274164.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 452242756 + 9229444 = 21266^2 + 3038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15190.

It is a self number, because there is not a number n which added to its sum of digits gives 461472200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14886185 + ... + 14886215.

Almost surely, 2^461472200 is an apocalyptic number.

461472200 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 461472200

461472200 is an abundant number, since it is smaller than the sum of its proper divisors (831875545).

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

461472200 is an equidigital number, since it uses as much as digits as its factorization.

461472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 461472200 is about 21481.9040124473. The cubic root of 461472200 is about 772.7669050450.

The spelling of 461472200 in words is "four hundred sixty-one million, four hundred seventy-two thousand, two hundred".