445825728000 has 1280 divisors, whose sum is σ = 1785342873600. Its totient is φ = 109287014400.

The previous prime is 445825727999. The next prime is 445825728001. The reversal of 445825728000 is 827528544.

445825728000 is a `hidden beast` number, since 44 + 582 + 5 + 7 + 28 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (445825727999) and next prime (445825728001).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445825728001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1214783817 + ... + 1214784183.

It is an arithmetic number, because the mean of its divisors is an integer number (1394799120).

Almost surely, 2^445825728000 is an apocalyptic number.

445825728000 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 445825728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892671436800).

445825728000 is an abundant number, since it is smaller than the sum of its proper divisors (1339517145600).

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

445825728000 is a wasteful number, since it uses less digits than its factorization.

445825728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 445825728000 in words is "four hundred forty-five billion, eight hundred twenty-five million, seven hundred twenty-eight thousand".