10400324 has 48 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 4398240.

The previous prime is 10400309. The next prime is 10400329. The reversal of 10400324 is 42300401.

10400324 = T₁₄₅ + T₁₄₆ + ... + T₄₀₂.

It is a junction number, because it is equal to n+sod(n) for n = 10400299 and 10400308.

It is not an unprimeable number, because it can be changed into a prime (10400329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43397 + ... + 43635.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 2^10400324 is an apocalyptic number.

It is an amenable number.

10400324 is an abundant number, since it is smaller than the sum of its proper divisors (10888636).

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

10400324 is a wasteful number, since it uses less digits than its factorization.

10400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10400324 is about 3224.9533329957. The cubic root of 10400324 is about 218.2808433277.

Adding to 10400324 its reverse (42300401), we get a palindrome (52700725).

The spelling of 10400324 in words is "ten million, four hundred thousand, three hundred twenty-four".