406286640 has 240 divisors, whose sum is σ = 1424569536. Its totient is φ = 103680000.

The previous prime is 406286611. The next prime is 406286653. The reversal of 406286640 is 46682604.

It is a happy number.

406286640 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 8 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 406286595 and 406286604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2690565 + ... + 2690715.

Almost surely, 2^406286640 is an apocalyptic number.

406286640 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 406286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712284768).

406286640 is an abundant number, since it is smaller than the sum of its proper divisors (1018282896).

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

406286640 is a wasteful number, since it uses less digits than its factorization.

406286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

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

The square root of 406286640 is about 20156.5532767882. The cubic root of 406286640 is about 740.6462822491.

The spelling of 406286640 in words is "four hundred six million, two hundred eighty-six thousand, six hundred forty".