445384864800 has 216 divisors, whose sum is σ = 1578680809524. Its totient is φ = 118153543680.

The previous prime is 445384864789. The next prime is 445384864811. The reversal of 445384864800 is 8468483544.

It is a happy number.

445384864800 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 84 + 86 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445384864789) and next prime (445384864811).

It can be written as a sum of positive squares in 6 ways, for example, as 57998125584 + 387386739216 = 240828^2 + 622404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1229344 + ... + 1549856.

Almost surely, 2^445384864800 is an apocalyptic number.

445384864800 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 445384864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789340404762).

445384864800 is an abundant number, since it is smaller than the sum of its proper divisors (1133295944724).

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

445384864800 is a wasteful number, since it uses less digits than its factorization.

445384864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320732 (or 320716 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 445384864800 in words is "four hundred forty-five billion, three hundred eighty-four million, eight hundred sixty-four thousand, eight hundred".