10468400 has 30 divisors (see below), whose sum is σ = 25151292. Its totient is φ = 4187200.

The previous prime is 10468387. The next prime is 10468417. The reversal of 10468400 is 486401.

It is a happy number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12686 + ... + 13485.

Almost surely, 2^10468400 is an apocalyptic number.

10468400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10468400 is an abundant number, since it is smaller than the sum of its proper divisors (14682892).

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

10468400 is a wasteful number, since it uses less digits than its factorization.

10468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26189 (or 26178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10468400 is about 3235.4906892155. The cubic root of 10468400 is about 218.7560651380.

The spelling of 10468400 in words is "ten million, four hundred sixty-eight thousand, four hundred".