414044430 has 64 divisors (see below), whose sum is σ = 1029907008. Its totient is φ = 106444800.

The previous prime is 414044419. The next prime is 414044437. The reversal of 414044430 is 34440414.

It is a self number, because there is not a number n which added to its sum of digits gives 414044430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414044437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123780 + ... + 127080.

It is an arithmetic number, because the mean of its divisors is an integer number (16092297).

Almost surely, 2^414044430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414044430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514953504).

414044430 is an abundant number, since it is smaller than the sum of its proper divisors (615862578).

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

414044430 is a wasteful number, since it uses less digits than its factorization.

414044430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414044430 is about 20348.0817277698. The cubic root of 414044430 is about 745.3306521384.

Adding to 414044430 its reverse (34440414), we get a palindrome (448484844).

The spelling of 414044430 in words is "four hundred fourteen million, forty-four thousand, four hundred thirty".