10414404 has 216 divisors, whose sum is σ = 37547328. Its totient is φ = 2350080.

The previous prime is 10414403. The next prime is 10414409. The reversal of 10414404 is 40441401.

10414404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10414403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 612604 + ... + 612620.

Almost surely, 2^10414404 is an apocalyptic number.

10414404 is a gapful number since it is divisible by the number (14) 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 10414404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773664).

10414404 is an abundant number, since it is smaller than the sum of its proper divisors (27132924).

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

10414404 is a wasteful number, since it uses less digits than its factorization.

10414404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10414404 is about 3227.1355719895. The cubic root of 10414404 is about 218.3793020678.

Adding to 10414404 its reverse (40441401), we get a palindrome (50855805).

Multiplying 10414404 by its reverse (40441401), we get a square (421173088340004 = 20522502²).

It can be divided in two parts, 1041 and 4404, that added together give a palindrome (5445).

The spelling of 10414404 in words is "ten million, four hundred fourteen thousand, four hundred four".