46444200 has 192 divisors, whose sum is σ = 162846720. Its totient is φ = 10848000.

The previous prime is 46444193. The next prime is 46444201. The reversal of 46444200 is 244464.

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 (46444201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204487 + ... + 204713.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^46444200 is an apocalyptic number.

46444200 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 46444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

46444200 is an abundant number, since it is smaller than the sum of its proper divisors (116402520).

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

46444200 is a wasteful number, since it uses less digits than its factorization.

46444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 46444200 is about 6814.9981658105. The cubic root of 46444200 is about 359.4544205063.

Adding to 46444200 its reverse (244464), we get a palindrome (46688664).

The spelling of 46444200 in words is "forty-six million, four hundred forty-four thousand, two hundred".