46646000 has 80 divisors (see below), whose sum is σ = 114555168. Its totient is φ = 18368000.

The previous prime is 46645999. The next prime is 46646009. The reversal of 46646000 is 64664.

46646000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46646009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165860 + ... + 166140.

Almost surely, 2^46646000 is an apocalyptic number.

46646000 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 46646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57277584).

46646000 is an abundant number, since it is smaller than the sum of its proper divisors (67909168).

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

46646000 is a wasteful number, since it uses less digits than its factorization.

46646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 46646000 is about 6829.7876980181. The cubic root of 46646000 is about 359.9742779976.

The spelling of 46646000 in words is "forty-six million, six hundred forty-six thousand".