461006766 has 192 divisors, whose sum is σ = 1222041600. Its totient is φ = 124027200.

The previous prime is 461006761. The next prime is 461006837. The reversal of 461006766 is 667600164.

It is a self number, because there is not a number n which added to its sum of digits gives 461006766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461006761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6880665 + ... + 6880731.

It is an arithmetic number, because the mean of its divisors is an integer number (6364800).

Almost surely, 2^461006766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461006766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611020800).

461006766 is an abundant number, since it is smaller than the sum of its proper divisors (761034834).

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

461006766 is a wasteful number, since it uses less digits than its factorization.

461006766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 461006766 is about 21471.0681150240. The cubic root of 461006766 is about 772.5070172486.

The spelling of 461006766 in words is "four hundred sixty-one million, six thousand, seven hundred sixty-six".