406404000 has 384 divisors, whose sum is σ = 1528450560. Its totient is φ = 104832000.

The previous prime is 406403983. The next prime is 406404001. The reversal of 406404000 is 404604.

It is a super-2 number, since 2×406404000² = 330328422432000000, which contains 22 as substring.

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 (406404001) 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 63 ways as a sum of consecutive naturals, for example, 5723965 + ... + 5724035.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^406404000 is an apocalyptic number.

406404000 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 406404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

406404000 is an abundant number, since it is smaller than the sum of its proper divisors (1122046560).

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

406404000 is a wasteful number, since it uses less digits than its factorization.

406404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 406404000 is about 20159.4642785963. The cubic root of 406404000 is about 740.7175897703.

Adding to 406404000 its reverse (404604), we get a palindrome (406808604).

The spelling of 406404000 in words is "four hundred six million, four hundred four thousand".