414014430 has 64 divisors (see below), whose sum is σ = 1063056960. Its totient is φ = 102825984.

The previous prime is 414014417. The next prime is 414014437. The reversal of 414014430 is 34410414.

It is a junction number, because it is equal to n+sod(n) for n = 414014397 and 414014406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414014437) 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, 45286 + ... + 53654.

It is an arithmetic number, because the mean of its divisors is an integer number (16610265).

Almost surely, 2^414014430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531528480).

414014430 is an abundant number, since it is smaller than the sum of its proper divisors (649042530).

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

414014430 is a wasteful number, since it uses less digits than its factorization.

414014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414014430 is about 20347.3445441905. The cubic root of 414014430 is about 745.3126504797.

Adding to 414014430 its reverse (34410414), we get a palindrome (448424844).

The spelling of 414014430 in words is "four hundred fourteen million, fourteen thousand, four hundred thirty".