10004480 has 48 divisors (see below), whose sum is σ = 24029460. Its totient is φ = 3997696.

The previous prime is 10004479. The next prime is 10004497. The reversal of 10004480 is 8440001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9634816 + 369664 = 3104^2 + 608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9752 + ... + 10728.

Almost surely, 2^10004480 is an apocalyptic number.

10004480 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 10004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014730).

10004480 is an abundant number, since it is smaller than the sum of its proper divisors (14024980).

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

10004480 is an frugal number, since it uses more digits than its factorization.

10004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 984 counting only the distinct ones).

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

The square root of 10004480 is about 3162.9859310468. The cubic root of 10004480 is about 215.4756370913.

Adding to 10004480 its reverse (8440001), we get a palindrome (18444481).

The spelling of 10004480 in words is "ten million, four thousand, four hundred eighty".