445304419400 has 48 divisors (see below), whose sum is σ = 1060584813540. Its totient is φ = 173777331200.

The previous prime is 445304419393. The next prime is 445304419411. The reversal of 445304419400 is 4914403544.

It can be written as a sum of positive squares in 6 ways, for example, as 35783775556 + 409520643844 = 189166^2 + 639938^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27144509 + ... + 27160908.

Almost surely, 2^445304419400 is an apocalyptic number.

445304419400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445304419400 is an abundant number, since it is smaller than the sum of its proper divisors (615280394140).

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

445304419400 is a wasteful number, since it uses less digits than its factorization.

445304419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54305474 (or 54305465 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 445304419400 in words is "four hundred forty-five billion, three hundred four million, four hundred nineteen thousand, four hundred".