406555200 has 210 divisors, whose sum is σ = 1494871026. Its totient is φ = 108380160.

The previous prime is 406555183. The next prime is 406555229. The reversal of 406555200 is 2555604.

406555200 is a `hidden beast` number, since 4 + 0 + 655 + 5 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 139428864 + 267126336 = 11808^2 + 16344^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128032 + ... + 131168.

Almost surely, 2^406555200 is an apocalyptic number.

406555200 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 406555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747435513).

406555200 is an abundant number, since it is smaller than the sum of its proper divisors (1088315826).

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

406555200 is a wasteful number, since it uses less digits than its factorization.

406555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 406555200 is about 20163.2140295142. The cubic root of 406555200 is about 740.8094381225.

The spelling of 406555200 in words is "four hundred six million, five hundred fifty-five thousand, two hundred".