461878200 has 240 divisors, whose sum is σ = 1833788880. Its totient is φ = 105546240.

The previous prime is 461878181. The next prime is 461878211. The reversal of 461878200 is 2878164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 111364 + ... + 115436.

It is an arithmetic number, because the mean of its divisors is an integer number (7640787).

Almost surely, 2^461878200 is an apocalyptic number.

461878200 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 461878200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916894440).

461878200 is an abundant number, since it is smaller than the sum of its proper divisors (1371910680).

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

461878200 is a wasteful number, since it uses less digits than its factorization.

461878200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 461878200 is about 21491.3517490176. The cubic root of 461878200 is about 772.9934635814.

Subtracting from 461878200 its sum of digits (36), we obtain a palindrome (461878164).

The spelling of 461878200 in words is "four hundred sixty-one million, eight hundred seventy-eight thousand, two hundred".