10446400 has 42 divisors (see below), whose sum is σ = 25708610. Its totient is φ = 4177920.

The previous prime is 10446391. The next prime is 10446413. The reversal of 10446400 is 464401.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 10445824 = 24^2 + 3232^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1665 + ... + 4864.

Almost surely, 2^10446400 is an apocalyptic number.

10446400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10446400 is an abundant number, since it is smaller than the sum of its proper divisors (15262210).

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

10446400 is an equidigital number, since it uses as much as digits as its factorization.

10446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6551 (or 6536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10446400 is about 3232.0891076825. The cubic root of 10446400 is about 218.6027144596.

The spelling of 10446400 in words is "ten million, four hundred forty-six thousand, four hundred".