46644000 has 288 divisors, whose sum is σ = 172658304. Its totient is φ = 10982400.

The previous prime is 46643983. The next prime is 46644001. The reversal of 46644000 is 44664.

46644000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (46644001) 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 47 ways as a sum of consecutive naturals, for example, 2027989 + ... + 2028011.

It is an arithmetic number, because the mean of its divisors is an integer number (599508).

Almost surely, 2^46644000 is an apocalyptic number.

46644000 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 46644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

46644000 is an abundant number, since it is smaller than the sum of its proper divisors (126014304).

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

46644000 is a wasteful number, since it uses less digits than its factorization.

46644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 46644000 is about 6829.6412790131. The cubic root of 46644000 is about 359.9691331560.

Adding to 46644000 its reverse (44664), we get a palindrome (46688664).

The spelling of 46644000 in words is "forty-six million, six hundred forty-four thousand".