406305000 has 120 divisors (see below), whose sum is σ = 1375223850. Its totient is φ = 108336000.

The previous prime is 406304953. The next prime is 406305007. The reversal of 406305000 is 503604.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 86825124 + 319479876 = 9318^2 + 17874^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (406305007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40486 + ... + 49514.

Almost surely, 2^406305000 is an apocalyptic number.

406305000 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 406305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687611925).

406305000 is an abundant number, since it is smaller than the sum of its proper divisors (968918850).

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

406305000 is a wasteful number, since it uses less digits than its factorization.

406305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 406305000 is about 20157.0087066509. The cubic root of 406305000 is about 740.6574386262.

Adding to 406305000 its reverse (503604), we get a palindrome (406808604).

The spelling of 406305000 in words is "four hundred six million, three hundred five thousand".