10200460 has 48 divisors (see below), whose sum is σ = 22730400. Its totient is φ = 3838464.

The previous prime is 10200413. The next prime is 10200461. The reversal of 10200460 is 6400201.

10200460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10200460.

It is not an unprimeable number, because it can be changed into a prime (10200461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24736 + ... + 25144.

It is an arithmetic number, because the mean of its divisors is an integer number (473550).

Almost surely, 2^10200460 is an apocalyptic number.

10200460 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 10200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365200).

10200460 is an abundant number, since it is smaller than the sum of its proper divisors (12529940).

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

10200460 is a wasteful number, since it uses less digits than its factorization.

10200460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10200460 is about 3193.8158995158. The cubic root of 10200460 is about 216.8735486176.

Adding to 10200460 its reverse (6400201), we get a palindrome (16600661).

The spelling of 10200460 in words is "ten million, two hundred thousand, four hundred sixty".