445322240 has 88 divisors (see below), whose sum is σ = 1165512672. Its totient is φ = 161914880.

The previous prime is 445322239. The next prime is 445322249. The reversal of 445322240 is 42223544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445322249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52367 + ... + 60273.

Almost surely, 2^445322240 is an apocalyptic number.

445322240 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 445322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582756336).

445322240 is an abundant number, since it is smaller than the sum of its proper divisors (720190432).

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

445322240 is a wasteful number, since it uses less digits than its factorization.

445322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 445322240 is about 21102.6595480285. The cubic root of 445322240 is about 763.6449105070.

Adding to 445322240 its reverse (42223544), we get a palindrome (487545784).

The spelling of 445322240 in words is "four hundred forty-five million, three hundred twenty-two thousand, two hundred forty".