10305440 has 48 divisors (see below), whose sum is σ = 25197480. Its totient is φ = 3978240.

The previous prime is 10305439. The next prime is 10305461. The reversal of 10305440 is 4450301.

It can be written as a sum of positive squares in 4 ways, for example, as 9024016 + 1281424 = 3004^2 + 1132^2 .

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 7 ways as a sum of consecutive naturals, for example, 3530 + ... + 5750.

Almost surely, 2^10305440 is an apocalyptic number.

10305440 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 10305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598740).

10305440 is an abundant number, since it is smaller than the sum of its proper divisors (14892040).

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

10305440 is a wasteful number, since it uses less digits than its factorization.

10305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 10305440 is about 3210.2087159560. The cubic root of 10305440 is about 217.6150094174.

Adding to 10305440 its reverse (4450301), we get a palindrome (14755741).

The spelling of 10305440 in words is "ten million, three hundred five thousand, four hundred forty".