445492320 has 576 divisors, whose sum is σ = 1853300736. Its totient is φ = 89026560.

The previous prime is 445492277. The next prime is 445492331. The reversal of 445492320 is 23294544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9478537 + ... + 9478583.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536).

Almost surely, 2^445492320 is an apocalyptic number.

445492320 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 445492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368).

445492320 is an abundant number, since it is smaller than the sum of its proper divisors (1407808416).

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

445492320 is a wasteful number, since it uses less digits than its factorization.

445492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 445492320 is about 21106.6889871434. The cubic root of 445492320 is about 763.7421166671.

The spelling of 445492320 in words is "four hundred forty-five million, four hundred ninety-two thousand, three hundred twenty".