445769875600 has 405 divisors, whose sum is σ = 1320092450361. Its totient is φ = 144214560000.

The previous prime is 445769875567. The next prime is 445769875601. The reversal of 445769875600 is 6578967544.

It is a happy number.

The square root of 445769875600 is 667660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 160477155216 + 285292720384 = 400596^2 + 534128^2 .

It is not an unprimeable number, because it can be changed into a prime (445769875601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1775975475 + ... + 1775975725.

Almost surely, 2^445769875600 is an apocalyptic number.

445769875600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

445769875600 is the 667660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445769875600

445769875600 is an abundant number, since it is smaller than the sum of its proper divisors (874322574761).

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

445769875600 is a wasteful number, since it uses less digits than its factorization.

445769875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 445769875600 in words is "four hundred forty-five billion, seven hundred sixty-nine million, eight hundred seventy-five thousand, six hundred".