46656500 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 15936000.

The previous prime is 46656499. The next prime is 46656503. The reversal of 46656500 is 565664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46656503) 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 31 ways as a sum of consecutive naturals, for example, 93251 + ... + 93749.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^46656500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

46656500 is an abundant number, since it is smaller than the sum of its proper divisors (71279500).

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

46656500 is a wasteful number, since it uses less digits than its factorization.

46656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 46656500 is about 6830.5563463015. The cubic root of 46656500 is about 360.0012860036.

The spelling of 46656500 in words is "forty-six million, six hundred fifty-six thousand, five hundred".