10480400 has 120 divisors (see below), whose sum is σ = 30444480. Its totient is φ = 3386880.

The previous prime is 10480399. The next prime is 10480423. The reversal of 10480400 is 408401.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 53102 + ... + 53298.

It is an arithmetic number, because the mean of its divisors is an integer number (253704).

Almost surely, 2^10480400 is an apocalyptic number.

10480400 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 10480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

10480400 is an abundant number, since it is smaller than the sum of its proper divisors (19964080).

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

10480400 is a wasteful number, since it uses less digits than its factorization.

10480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10480400 is about 3237.3445908646. The cubic root of 10480400 is about 218.8396204210.

Adding to 10480400 its reverse (408401), we get a palindrome (10888801).

The spelling of 10480400 in words is "ten million, four hundred eighty thousand, four hundred".