445304534400 has 576 divisors, whose sum is σ = 1789354045440. Its totient is φ = 104467968000.

The previous prime is 445304534393. The next prime is 445304534503. The reversal of 445304534400 is 4435403544.

445304534400 is a `hidden beast` number, since 4 + 4 + 5 + 304 + 5 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×445304534400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9798129 + ... + 9843471.

It is an arithmetic number, because the mean of its divisors is an integer number (3106517440).

Almost surely, 2^445304534400 is an apocalyptic number.

445304534400 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 445304534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894677022720).

445304534400 is an abundant number, since it is smaller than the sum of its proper divisors (1344049511040).

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

445304534400 is a wasteful number, since it uses less digits than its factorization.

445304534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45415 (or 45395 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 445304534400 its reverse (4435403544), we get a palindrome (449739937944).

The spelling of 445304534400 in words is "four hundred forty-five billion, three hundred four million, five hundred thirty-four thousand, four hundred".