445340000 has 120 divisors (see below), whose sum is σ = 1252511568. Its totient is φ = 152640000.

The previous prime is 445339997. The next prime is 445340003. The reversal of 445340000 is 43544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (445339997) and next prime (445340003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445340003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 138410 + ... + 141590.

Almost surely, 2^445340000 is an apocalyptic number.

445340000 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 445340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626255784).

445340000 is an abundant number, since it is smaller than the sum of its proper divisors (807171568).

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

445340000 is an equidigital number, since it uses as much as digits as its factorization.

445340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 445340000 is about 21103.0803438740. The cubic root of 445340000 is about 763.6550620722.

Adding to 445340000 its reverse (43544), we get a palindrome (445383544).

The spelling of 445340000 in words is "four hundred forty-five million, three hundred forty thousand".