10405540 has 48 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 3894912.

The previous prime is 10405537. The next prime is 10405541. The reversal of 10405540 is 4550401.

10405540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (10405541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52722 + ... + 52918.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 2^10405540 is an apocalyptic number.

10405540 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 10405540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

10405540 is an abundant number, since it is smaller than the sum of its proper divisors (12879260).

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

10405540 is a wasteful number, since it uses less digits than its factorization.

10405540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 10405540 is about 3225.7619254992. The cubic root of 10405540 is about 218.3173281717.

Adding to 10405540 its reverse (4550401), we get a palindrome (14955941).

The spelling of 10405540 in words is "ten million, four hundred five thousand, five hundred forty".