461533800 has 384 divisors, whose sum is σ = 1799884800. Its totient is φ = 95247360.

The previous prime is 461533783. The next prime is 461533841. The reversal of 461533800 is 8335164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4313347 + ... + 4313453.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^461533800 is an apocalyptic number.

461533800 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 461533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

461533800 is an abundant number, since it is smaller than the sum of its proper divisors (1338351000).

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

461533800 is a wasteful number, since it uses less digits than its factorization.

461533800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 461533800 is about 21483.3377295056. The cubic root of 461533800 is about 772.8012879926.

Adding to 461533800 its reverse (8335164), we get a palindrome (469868964).

The spelling of 461533800 in words is "four hundred sixty-one million, five hundred thirty-three thousand, eight hundred".