461635400 has 96 divisors (see below), whose sum is σ = 1157738400. Its totient is φ = 170611200.

The previous prime is 461635387. The next prime is 461635403. The reversal of 461635400 is 4536164.

It is a happy number.

461635400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (461635403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 154319 + ... + 157281.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^461635400 is an apocalyptic number.

461635400 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 461635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578869200).

461635400 is an abundant number, since it is smaller than the sum of its proper divisors (696103000).

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

461635400 is a wasteful number, since it uses less digits than its factorization.

461635400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 461635400 is about 21485.7022226410. The cubic root of 461635400 is about 772.8579908459.

The spelling of 461635400 in words is "four hundred sixty-one million, six hundred thirty-five thousand, four hundred".