445544400 has 480 divisors, whose sum is σ = 1771315200. Its totient is φ = 93542400.

The previous prime is 445544389. The next prime is 445544401. The reversal of 445544400 is 4445544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445544401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7551571 + ... + 7551629.

It is an arithmetic number, because the mean of its divisors is an integer number (3690240).

Almost surely, 2^445544400 is an apocalyptic number.

445544400 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 445544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885657600).

445544400 is an abundant number, since it is smaller than the sum of its proper divisors (1325770800).

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

445544400 is a wasteful number, since it uses less digits than its factorization.

445544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 445544400 is about 21107.9226832012. The cubic root of 445544400 is about 763.7718771050.

Adding to 445544400 its reverse (4445544), we get a palindrome (449989944).

The spelling of 445544400 in words is "four hundred forty-five million, five hundred forty-four thousand, four hundred".