406445000 has 160 divisors (see below), whose sum is σ = 1059504600. Its totient is φ = 146016000.

The previous prime is 406444949. The next prime is 406445003. The reversal of 406445000 is 544604.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 398162116 + 8282884 = 19954^2 + 2878^2 .

It is not an unprimeable number, because it can be changed into a prime (406445003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10984982 + ... + 10985018.

Almost surely, 2^406445000 is an apocalyptic number.

406445000 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 406445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529752300).

406445000 is an abundant number, since it is smaller than the sum of its proper divisors (653059600).

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

406445000 is an equidigital number, since it uses as much as digits as its factorization.

406445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 406445000 is about 20160.4811450521. The cubic root of 406445000 is about 740.7424979897.

Adding to 406445000 its reverse (544604), we get a palindrome (406989604).

The spelling of 406445000 in words is "four hundred six million, four hundred forty-five thousand".