461081600 has 264 divisors, whose sum is σ = 1364579328. Its totient is φ = 151142400.

The previous prime is 461081591. The next prime is 461081611. The reversal of 461081600 is 6180164.

It is a self number, because there is not a number n which added to its sum of digits gives 461081600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5555159 + ... + 5555241.

Almost surely, 2^461081600 is an apocalyptic number.

461081600 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 461081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682289664).

461081600 is an abundant number, since it is smaller than the sum of its proper divisors (903497728).

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

461081600 is a wasteful number, since it uses less digits than its factorization.

461081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 461081600 is about 21472.8107149483. The cubic root of 461081600 is about 772.5488146557.

The spelling of 461081600 in words is "four hundred sixty-one million, eighty-one thousand, six hundred".