10409440 has 96 divisors (see below), whose sum is σ = 26943840. Its totient is φ = 3784704.

The previous prime is 10409437. The next prime is 10409453. The reversal of 10409440 is 4490401.

It is a happy number.

It is a super-2 number, since 2×10409440² = 216712882227200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 116916 + ... + 117004.

It is an arithmetic number, because the mean of its divisors is an integer number (280665).

Almost surely, 2^10409440 is an apocalyptic number.

10409440 is a gapful number since it is divisible by the number (10) 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 10409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471920).

10409440 is an abundant number, since it is smaller than the sum of its proper divisors (16534400).

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

10409440 is a wasteful number, since it uses less digits than its factorization.

10409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10409440 is about 3226.3663772114. The cubic root of 10409440 is about 218.3445999016.

Adding to 10409440 its reverse (4490401), we get a palindrome (14899841).

The spelling of 10409440 in words is "ten million, four hundred nine thousand, four hundred forty".