461875200 has 288 divisors, whose sum is σ = 1592398080. Its totient is φ = 117964800.

The previous prime is 461875171. The next prime is 461875207. The reversal of 461875200 is 2578164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461875207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4761552 + ... + 4761648.

It is an arithmetic number, because the mean of its divisors is an integer number (5529160).

Almost surely, 2^461875200 is an apocalyptic number.

461875200 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 461875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

461875200 is an abundant number, since it is smaller than the sum of its proper divisors (1130522880).

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

461875200 is a wasteful number, since it uses less digits than its factorization.

461875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 461875200 is about 21491.2819533875. The cubic root of 461875200 is about 772.9917899905.

The spelling of 461875200 in words is "four hundred sixty-one million, eight hundred seventy-five thousand, two hundred".