46656306 has 24 divisors (see below), whose sum is σ = 101276604. Its totient is φ = 15523200.

The previous prime is 46656299. The next prime is 46656329. The reversal of 46656306 is 60365664.

It can be written as a sum of positive squares in 2 ways, for example, as 32661225 + 13995081 = 5715^2 + 3741^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9006 + ... + 13206.

Almost surely, 2^46656306 is an apocalyptic number.

46656306 is an abundant number, since it is smaller than the sum of its proper divisors (54620298).

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

46656306 is a wasteful number, since it uses less digits than its factorization.

46656306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 46656306 is about 6830.5421453937. The cubic root of 46656306 is about 360.0007870353. Note that the first 3 decimals are identical.

The spelling of 46656306 in words is "forty-six million, six hundred fifty-six thousand, three hundred six".