445693364280 has 512 divisors, whose sum is σ = 1616425113600. Its totient is φ = 108931350528.

The previous prime is 445693364267. The next prime is 445693364297. The reversal of 445693364280 is 82463396544.

445693364280 is a `hidden beast` number, since 4 + 4 + 569 + 3 + 36 + 42 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 56606424 + ... + 56614296.

It is an arithmetic number, because the mean of its divisors is an integer number (3157080300).

Almost surely, 2^445693364280 is an apocalyptic number.

445693364280 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 445693364280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808212556800).

445693364280 is an abundant number, since it is smaller than the sum of its proper divisors (1170731749320).

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

445693364280 is a wasteful number, since it uses less digits than its factorization.

445693364280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 445693364280 in words is "four hundred forty-five billion, six hundred ninety-three million, three hundred sixty-four thousand, two hundred eighty".