445242230400 has 1152 divisors, whose sum is σ = 1738138752000. Its totient is φ = 99057254400.

The previous prime is 445242230369. The next prime is 445242230417. The reversal of 445242230400 is 4032242544.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5635977561 + ... + 5635977639.

It is an arithmetic number, because the mean of its divisors is an integer number (1508801000).

Almost surely, 2^445242230400 is an apocalyptic number.

445242230400 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 445242230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869069376000).

445242230400 is an abundant number, since it is smaller than the sum of its proper divisors (1292896521600).

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

445242230400 is a wasteful number, since it uses less digits than its factorization.

445242230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 445242230400 its reverse (4032242544), we get a palindrome (449274472944).

The spelling of 445242230400 in words is "four hundred forty-five billion, two hundred forty-two million, two hundred thirty thousand, four hundred".