406686240 has 288 divisors, whose sum is σ = 1512529200. Its totient is φ = 99090432.

The previous prime is 406686211. The next prime is 406686263. The reversal of 406686240 is 42686604.

It is a happy number.

406686240 is a `hidden beast` number, since 406 + 6 + 8 + 6 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 337530384 + 69155856 = 18372^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406686195 and 406686204.

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 47 ways as a sum of consecutive naturals, for example, 905536 + ... + 905984.

Almost surely, 2^406686240 is an apocalyptic number.

406686240 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 406686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756264600).

406686240 is an abundant number, since it is smaller than the sum of its proper divisors (1105842960).

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

406686240 is a wasteful number, since it uses less digits than its factorization.

406686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 406686240 is about 20166.4632496628. The cubic root of 406686240 is about 740.8890216091.

The spelling of 406686240 in words is "four hundred six million, six hundred eighty-six thousand, two hundred forty".