10400240 has 20 divisors (see below), whose sum is σ = 24180744. Its totient is φ = 4160064.

The previous prime is 10400231. The next prime is 10400249. The reversal of 10400240 is 4200401.

It is an interprime number because it is at equal distance from previous prime (10400231) and next prime (10400249).

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400249) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 64922 + ... + 65081.

Almost surely, 2^10400240 is an apocalyptic number.

10400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400240 is an abundant number, since it is smaller than the sum of its proper divisors (13780504).

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

10400240 is a wasteful number, since it uses less digits than its factorization.

10400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130016 (or 130010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10400240 is about 3224.9403095251. The cubic root of 10400240 is about 218.2802556653.

Adding to 10400240 its reverse (4200401), we get a palindrome (14600641).

The spelling of 10400240 in words is "ten million, four hundred thousand, two hundred forty".