461334200 has 24 divisors (see below), whose sum is σ = 1072602480. Its totient is φ = 184533600.

The previous prime is 461334197. The next prime is 461334227. The reversal of 461334200 is 2433164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1153136 + ... + 1153535.

It is an arithmetic number, because the mean of its divisors is an integer number (44691770).

Almost surely, 2^461334200 is an apocalyptic number.

461334200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461334200 is an abundant number, since it is smaller than the sum of its proper divisors (611268280).

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

461334200 is a wasteful number, since it uses less digits than its factorization.

461334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306687 (or 2306678 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 461334200 is about 21478.6917664927. The cubic root of 461334200 is about 772.6898672047.

Adding to 461334200 its reverse (2433164), we get a palindrome (463767364).

The spelling of 461334200 in words is "four hundred sixty-one million, three hundred thirty-four thousand, two hundred".