461459200 has 54 divisors (see below), whose sum is σ = 1142199464. Its totient is φ = 184581120.

The previous prime is 461459197. The next prime is 461459209. The reversal of 461459200 is 2954164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461459209) 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 5 ways as a sum of consecutive naturals, for example, 29652 + ... + 42451.

Almost surely, 2^461459200 is an apocalyptic number.

461459200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461459200 is an abundant number, since it is smaller than the sum of its proper divisors (680740264).

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

461459200 is an equidigital number, since it uses as much as digits as its factorization.

461459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72129 (or 72110 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 461459200 is about 21481.6014300610. The cubic root of 461459200 is about 772.7596485124.

The spelling of 461459200 in words is "four hundred sixty-one million, four hundred fifty-nine thousand, two hundred".