10409406 has 64 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 2741760.

The previous prime is 10409401. The next prime is 10409431. The reversal of 10409406 is 60490401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43435 + ... + 43673.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^10409406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10409406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

10409406 is an abundant number, since it is smaller than the sum of its proper divisors (15303234).

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

10409406 is a wasteful number, since it uses less digits than its factorization.

10409406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10409406 is about 3226.3611081217. The cubic root of 10409406 is about 218.3443621775.

Adding to 10409406 its reverse (60490401), we get a palindrome (70899807).

The spelling of 10409406 in words is "ten million, four hundred nine thousand, four hundred six".