10400544 has 216 divisors, whose sum is σ = 38093328. Its totient is φ = 2661120.

The previous prime is 10400521. The next prime is 10400591. The reversal of 10400544 is 44500401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 155199 + ... + 155265.

It is an arithmetic number, because the mean of its divisors is an integer number (176358).

Almost surely, 2^10400544 is an apocalyptic number.

10400544 is a gapful number since it is divisible by the number (14) 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 10400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

10400544 is an abundant number, since it is smaller than the sum of its proper divisors (27692784).

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

10400544 is a wasteful number, since it uses less digits than its factorization.

10400544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10400544 is about 3224.9874418360. The cubic root of 10400544 is about 218.2823824287.

Adding to 10400544 its reverse (44500401), we get a palindrome (54900945).

The spelling of 10400544 in words is "ten million, four hundred thousand, five hundred forty-four".