10004456 has 64 divisors (see below), whose sum is σ = 23760000. Its totient is φ = 3836160.

The previous prime is 10004447. The next prime is 10004459. The reversal of 10004456 is 65440001.

It is a happy number.

10004456 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10004456 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10004459) 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, 67070 + ... + 67218.

It is an arithmetic number, because the mean of its divisors is an integer number (371250).

Almost surely, 2^10004456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880000).

10004456 is an abundant number, since it is smaller than the sum of its proper divisors (13755544).

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

10004456 is a wasteful number, since it uses less digits than its factorization.

10004456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10004456 is about 3162.9821371611. The cubic root of 10004456 is about 215.4754647878.

Adding to 10004456 its reverse (65440001), we get a palindrome (75444457).

The spelling of 10004456 in words is "ten million, four thousand, four hundred fifty-six".