10415440 has 60 divisors (see below), whose sum is σ = 28180116. Its totient is φ = 3569664.

The previous prime is 10415429. The next prime is 10415459. The reversal of 10415440 is 4451401.

It can be written as a sum of positive squares in 2 ways, for example, as 5271616 + 5143824 = 2296^2 + 2268^2 .

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 11 ways as a sum of consecutive naturals, for example, 2592 + ... + 5248.

Almost surely, 2^10415440 is an apocalyptic number.

10415440 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 10415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090058).

10415440 is an abundant number, since it is smaller than the sum of its proper divisors (17764676).

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

10415440 is a wasteful number, since it uses less digits than its factorization.

10415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 10415440 is about 3227.2960818617. The cubic root of 10415440 is about 218.3865431113.

Adding to 10415440 its reverse (4451401), we get a palindrome (14866841).

The spelling of 10415440 in words is "ten million, four hundred fifteen thousand, four hundred forty".