10409200 has 60 divisors (see below), whose sum is σ = 25531848. Its totient is φ = 4076800.

The previous prime is 10409197. The next prime is 10409213. The reversal of 10409200 is 290401.

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 20955 + ... + 21445.

Almost surely, 2^10409200 is an apocalyptic number.

10409200 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 10409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765924).

10409200 is an abundant number, since it is smaller than the sum of its proper divisors (15122648).

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

10409200 is a wasteful number, since it uses less digits than its factorization.

10409200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10409200 is about 3226.3291834529. The cubic root of 10409200 is about 218.3429218380.

Adding to 10409200 its reverse (290401), we get a palindrome (10699601).

It can be divided in two parts, 10409 and 200, that added together give a square (10609 = 103²).

The spelling of 10409200 in words is "ten million, four hundred nine thousand, two hundred".