10416400 has 30 divisors (see below), whose sum is σ = 25026362. Its totient is φ = 4166400.

The previous prime is 10416397. The next prime is 10416407. The reversal of 10416400 is 461401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 7907344 = 1584^2 + 2812^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10416407) 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 5 ways as a sum of consecutive naturals, for example, 12621 + ... + 13420.

Almost surely, 2^10416400 is an apocalyptic number.

10416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10416400 is an abundant number, since it is smaller than the sum of its proper divisors (14609962).

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

10416400 is a wasteful number, since it uses less digits than its factorization.

10416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26059 (or 26048 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10416400 is about 3227.4448097528. Note that the first 3 decimals coincide. The cubic root of 10416400 is about 218.3932525298.

Adding to 10416400 its reverse (461401), we get a palindrome (10877801).

It can be divided in two parts, 10416 and 400, that added together give a square (10816 = 104²).

The spelling of 10416400 in words is "ten million, four hundred sixteen thousand, four hundred".