461166615 has 192 divisors, whose sum is σ = 1054749696. Its totient is φ = 188116992.

The previous prime is 461166611. The next prime is 461166637. The reversal of 461166615 is 516661164.

It is a happy number.

It is not a de Polignac number, because 461166615 - 2² = 461166611 is a prime.

Its product of digits (25920) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 461166615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461166611) 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 191 ways as a sum of consecutive naturals, for example, 4754247 + ... + 4754343.

It is an arithmetic number, because the mean of its divisors is an integer number (5493488).

Almost surely, 2^461166615 is an apocalyptic number.

461166615 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

461166615 is an abundant number, since it is smaller than the sum of its proper divisors (593583081).

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

461166615 is a wasteful number, since it uses less digits than its factorization.

461166615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 461166615 is about 21474.7902201628. The cubic root of 461166615 is about 772.5962930205.

The spelling of 461166615 in words is "four hundred sixty-one million, one hundred sixty-six thousand, six hundred fifteen".