445198320 has 180 divisors, whose sum is σ = 1739364120. Its totient is φ = 101751552.

The previous prime is 445198309. The next prime is 445198321. The reversal of 445198320 is 23891544.

445198320 is a `hidden beast` number, since 44 + 519 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445198321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28971 + ... + 41589.

It is an arithmetic number, because the mean of its divisors is an integer number (9663134).

Almost surely, 2^445198320 is an apocalyptic number.

445198320 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 445198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869682060).

445198320 is an abundant number, since it is smaller than the sum of its proper divisors (1294165800).

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

445198320 is a wasteful number, since it uses less digits than its factorization.

445198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 445198320 is about 21099.7232209335. The cubic root of 445198320 is about 763.5740706762.

It can be divided in two parts, 445 and 198320, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 445198320 in words is "four hundred forty-five million, one hundred ninety-eight thousand, three hundred twenty".