10414200 has 96 divisors (see below), whose sum is σ = 34216560. Its totient is φ = 2611200.

The previous prime is 10414199. The next prime is 10414207. The reversal of 10414200 is 241401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9690 + ... + 10710.

Almost surely, 2^10414200 is an apocalyptic number.

10414200 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 10414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108280).

10414200 is an abundant number, since it is smaller than the sum of its proper divisors (23802360).

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

10414200 is a wasteful number, since it uses less digits than its factorization.

10414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10414200 is about 3227.1039648577. The cubic root of 10414200 is about 218.3778761687.

Adding to 10414200 its reverse (241401), we get a palindrome (10655601).

The spelling of 10414200 in words is "ten million, four hundred fourteen thousand, two hundred".