445348320 has 96 divisors (see below), whose sum is σ = 1485394848. Its totient is φ = 111771648.

The previous prime is 445348307. The next prime is 445348357. The reversal of 445348320 is 23843544.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×445348320² = 396670252253644800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19129 + ... + 35448.

It is an arithmetic number, because the mean of its divisors is an integer number (15472863).

Almost surely, 2^445348320 is an apocalyptic number.

445348320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445348320 is an abundant number, since it is smaller than the sum of its proper divisors (1040046528).

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

445348320 is a wasteful number, since it uses less digits than its factorization.

445348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54612 (or 54604 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 445348320 is about 21103.2774705731. The cubic root of 445348320 is about 763.6598176676.

The spelling of 445348320 in words is "four hundred forty-five million, three hundred forty-eight thousand, three hundred twenty".