10450 has 24 divisors (see below), whose sum is σ = 22320. Its totient is φ = 3600.

The previous prime is 10433. The next prime is 10453. The reversal of 10450 is 5401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10453) by changing a digit.

10450 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2¹⁰⁴⁵⁰ is an apocalyptic number.

10450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10450 is the 55-th nonagonal number.

10450 is an abundant number, since it is smaller than the sum of its proper divisors (11870).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160).

10450 is a wasteful number, since it uses less digits than its factorization.

10450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10450 is about 102.2252415013. The cubic root of 10450 is about 21.8627822930.

Subtracting from 10450 its sum of digits (10), we obtain a triangular number (10440 = T₁₄₄).

Adding to 10450 its reverse (5401), we get a palindrome (15851).

The spelling of 10450 in words is "ten thousand, four hundred fifty".