10488401 has 36 divisors (see below), whose sum is σ = 14100660. Its totient is φ = 7761600.

The previous prime is 10488341. The next prime is 10488403.

10488401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2371600 + 8116801 = 1540^2 + 2849^2 .

It is not a de Polignac number, because 10488401 - 2¹⁰ = 10487377 is a prime.

It is a super-2 number, since 2×10488401² = 220013111073602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10488403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171911 + ... + 171971.

It is an arithmetic number, because the mean of its divisors is an integer number (391685).

Almost surely, 2^10488401 is an apocalyptic number.

10488401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10488401 is a deficient number, since it is larger than the sum of its proper divisors (3612259).

10488401 is a wasteful number, since it uses less digits than its factorization.

10488401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 10488401 is about 3238.5800901012. The cubic root of 10488401 is about 218.8952954722.

It can be divided in two parts, 1048 and 8401, that added together give a palindrome (9449).

The spelling of 10488401 in words is "ten million, four hundred eighty-eight thousand, four hundred one".