461898800 has 120 divisors (see below), whose sum is σ = 1222622640. Its totient is φ = 166297600.

The previous prime is 461898799. The next prime is 461898817. The reversal of 461898800 is 8898164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 496736 + ... + 497664.

It is an arithmetic number, because the mean of its divisors is an integer number (10188522).

Almost surely, 2^461898800 is an apocalyptic number.

461898800 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 461898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611311320).

461898800 is an abundant number, since it is smaller than the sum of its proper divisors (760723840).

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

461898800 is a wasteful number, since it uses less digits than its factorization.

461898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 461898800 is about 21491.8310062219. The cubic root of 461898800 is about 773.0049553763.

The spelling of 461898800 in words is "four hundred sixty-one million, eight hundred ninety-eight thousand, eight hundred".