10413200 has 60 divisors (see below), whose sum is σ = 28599360. Its totient is φ = 3569280.

The previous prime is 10413199. The next prime is 10413203. The reversal of 10413200 is 231401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10413203) 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 11 ways as a sum of consecutive naturals, for example, 941 + ... + 4659.

It is an arithmetic number, because the mean of its divisors is an integer number (476656).

Almost surely, 2^10413200 is an apocalyptic number.

10413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299680).

10413200 is an abundant number, since it is smaller than the sum of its proper divisors (18186160).

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

10413200 is a wasteful number, since it uses less digits than its factorization.

10413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10413200 is about 3226.9490234585. The cubic root of 10413200 is about 218.3708861977.

Adding to 10413200 its reverse (231401), we get a palindrome (10644601).

The spelling of 10413200 in words is "ten million, four hundred thirteen thousand, two hundred".