10053440 has 56 divisors (see below), whose sum is σ = 24277320. Its totient is φ = 3964928.

The previous prime is 10053437. The next prime is 10053457. The reversal of 10053440 is 4435001.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 9935104 = 344^2 + 3152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28304 + ... + 28656.

Almost surely, 2^10053440 is an apocalyptic number.

10053440 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 10053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138660).

10053440 is an abundant number, since it is smaller than the sum of its proper divisors (14223880).

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

10053440 is an equidigital number, since it uses as much as digits as its factorization.

10053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

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

The square root of 10053440 is about 3170.7160074658. The cubic root of 10053440 is about 215.8265640243.

Adding to 10053440 its reverse (4435001), we get a palindrome (14488441).

The spelling of 10053440 in words is "ten million, fifty-three thousand, four hundred forty".