406444000 has 48 divisors (see below), whose sum is σ = 998642736. Its totient is φ = 162576000.

The previous prime is 406443997. The next prime is 406444013. The reversal of 406444000 is 444604.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46806 + ... + 54805.

It is an arithmetic number, because the mean of its divisors is an integer number (20805057).

Almost surely, 2^406444000 is an apocalyptic number.

406444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406444000 is an abundant number, since it is smaller than the sum of its proper divisors (592198736).

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

406444000 is a wasteful number, since it uses less digits than its factorization.

406444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101636 (or 101618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 406444000 is about 20160.4563440414. The cubic root of 406444000 is about 740.7418904920.

Adding to 406444000 its reverse (444604), we get a palindrome (406888604).

It can be divided in two parts, 40644 and 4000, that added together give a palindrome (44644).

The spelling of 406444000 in words is "four hundred six million, four hundred forty-four thousand".