406105260 has 96 divisors (see below), whose sum is σ = 1261612800. Its totient is φ = 96771840.

The previous prime is 406105247. The next prime is 406105261. The reversal of 406105260 is 62501604.

It is a self number, because there is not a number n which added to its sum of digits gives 406105260.

It is not an unprimeable number, because it can be changed into a prime (406105261) 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 31 ways as a sum of consecutive naturals, for example, 33726 + ... + 44154.

It is an arithmetic number, because the mean of its divisors is an integer number (13141800).

Almost surely, 2^406105260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406105260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630806400).

406105260 is an abundant number, since it is smaller than the sum of its proper divisors (855507540).

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

406105260 is a wasteful number, since it uses less digits than its factorization.

406105260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 406105260 is about 20152.0534933788. The cubic root of 406105260 is about 740.5360493860.

Adding to 406105260 its reverse (62501604), we get a palindrome (468606864).

The spelling of 406105260 in words is "four hundred six million, one hundred five thousand, two hundred sixty".