461213200 has 120 divisors (see below), whose sum is σ = 1277315072. Its totient is φ = 156764160.

The previous prime is 461213189. The next prime is 461213243. The reversal of 461213200 is 2312164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354952 + ... + 356248.

Almost surely, 2^461213200 is an apocalyptic number.

461213200 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 461213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638657536).

461213200 is an abundant number, since it is smaller than the sum of its proper divisors (816101872).

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

461213200 is a wasteful number, since it uses less digits than its factorization.

461213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 461213200 is about 21475.8748366626. The cubic root of 461213200 is about 772.6223068915.

Adding to 461213200 its reverse (2312164), we get a palindrome (463525364).

The spelling of 461213200 in words is "four hundred sixty-one million, two hundred thirteen thousand, two hundred".