10412240 has 40 divisors (see below), whose sum is σ = 24392040. Its totient is φ = 4133376.

The previous prime is 10412231. The next prime is 10412243. The reversal of 10412240 is 4221401.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 9759376 = 808^2 + 3124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12146 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (609801).

Almost surely, 2^10412240 is an apocalyptic number.

10412240 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 10412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196020).

10412240 is an abundant number, since it is smaller than the sum of its proper divisors (13979800).

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

10412240 is a wasteful number, since it uses less digits than its factorization.

10412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10412240 is about 3226.8002727160. The cubic root of 10412240 is about 218.3641754046.

Adding to 10412240 its reverse (4221401), we get a palindrome (14633641).

The spelling of 10412240 in words is "ten million, four hundred twelve thousand, two hundred forty".