461227200 has 504 divisors, whose sum is σ = 1841949072. Its totient is φ = 100638720.

The previous prime is 461227199. The next prime is 461227229. The reversal of 461227200 is 2722164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8702374 + ... + 8702426.

Almost surely, 2^461227200 is an apocalyptic number.

461227200 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 461227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920974536).

461227200 is an abundant number, since it is smaller than the sum of its proper divisors (1380721872).

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

461227200 is a wasteful number, since it uses less digits than its factorization.

461227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 461227200 is about 21476.2007813300. The cubic root of 461227200 is about 772.6301243917.

Adding to 461227200 its reverse (2722164), we get a palindrome (463949364).

The spelling of 461227200 in words is "four hundred sixty-one million, two hundred twenty-seven thousand, two hundred".