10250400 has 72 divisors (see below), whose sum is σ = 33372864. Its totient is φ = 2732800.

The previous prime is 10250393. The next prime is 10250407. The reversal of 10250400 is 405201.

It is an interprime number because it is at equal distance from previous prime (10250393) and next prime (10250407).

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

It is not an unprimeable number, because it can be changed into a prime (10250407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265 + ... + 4535.

It is an arithmetic number, because the mean of its divisors is an integer number (463512).

Almost surely, 2^10250400 is an apocalyptic number.

10250400 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 10250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686432).

10250400 is an abundant number, since it is smaller than the sum of its proper divisors (23122464).

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

10250400 is a wasteful number, since it uses less digits than its factorization.

10250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10250400 is about 3201.6245876117. The cubic root of 10250400 is about 217.2268999307.

Adding to 10250400 its reverse (405201), we get a palindrome (10655601).

The spelling of 10250400 in words is "ten million, two hundred fifty thousand, four hundred".