445422400 has 84 divisors (see below), whose sum is σ = 1103241888. Its totient is φ = 176995840.

The previous prime is 445422359. The next prime is 445422407. The reversal of 445422400 is 4224544.

It is a happy number.

It is a super-2 number, since 2×445422400² = 396802228843520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445422407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266367 + ... + 268033.

It is an arithmetic number, because the mean of its divisors is an integer number (13133832).

Almost surely, 2^445422400 is an apocalyptic number.

445422400 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 445422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551620944).

445422400 is an abundant number, since it is smaller than the sum of its proper divisors (657819488).

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

445422400 is a wasteful number, since it uses less digits than its factorization.

445422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 445422400 is about 21105.0325751940. The cubic root of 445422400 is about 763.7021581460.

Adding to 445422400 its reverse (4224544), we get a palindrome (449646944).

The spelling of 445422400 in words is "four hundred forty-five million, four hundred twenty-two thousand, four hundred".