46444400 has 60 divisors (see below), whose sum is σ = 113313432. Its totient is φ = 18289920.

The previous prime is 46444381. The next prime is 46444421. The reversal of 46444400 is 444464.

46444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46444400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25934 + ... + 27666.

Almost surely, 2^46444400 is an apocalyptic number.

46444400 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 46444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56656716).

46444400 is an abundant number, since it is smaller than the sum of its proper divisors (66869032).

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

46444400 is a wasteful number, since it uses less digits than its factorization.

46444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 46444400 is about 6815.0128393129. The cubic root of 46444400 is about 359.4549364716.

Adding to 46444400 its reverse (444464), we get a palindrome (46888864).

The spelling of 46444400 in words is "forty-six million, four hundred forty-four thousand, four hundred".