406010240 has 128 divisors (see below), whose sum is σ = 1032933600. Its totient is φ = 152174592.

The previous prime is 406010239. The next prime is 406010251. The reversal of 406010240 is 42010604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2103584 + ... + 2103776.

Almost surely, 2^406010240 is an apocalyptic number.

406010240 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 406010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516466800).

406010240 is an abundant number, since it is smaller than the sum of its proper divisors (626923360).

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

406010240 is a wasteful number, since it uses less digits than its factorization.

406010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 406010240 is about 20149.6957793412. The cubic root of 406010240 is about 740.4782883151.

Adding to 406010240 its reverse (42010604), we get a palindrome (448020844).

The spelling of 406010240 in words is "four hundred six million, ten thousand, two hundred forty".