461606400 has 180 divisors, whose sum is σ = 1652374152. Its totient is φ = 123064320.

The previous prime is 461606393. The next prime is 461606417. The reversal of 461606400 is 4606164.

461606400 is a `hidden beast` number, since 4 + 6 + 16 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113197 + ... + 117203.

Almost surely, 2^461606400 is an apocalyptic number.

461606400 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 461606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826187076).

461606400 is an abundant number, since it is smaller than the sum of its proper divisors (1190767752).

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

461606400 is a wasteful number, since it uses less digits than its factorization.

461606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 461606400 is about 21485.0273446417. The cubic root of 461606400 is about 772.8418068249.

The spelling of 461606400 in words is "four hundred sixty-one million, six hundred six thousand, four hundred".