414224130 has 64 divisors (see below), whose sum is σ = 1048919040. Its totient is φ = 104400576.

The previous prime is 414224087. The next prime is 414224143. The reversal of 414224130 is 31422414.

It is a junction number, because it is equal to n+sod(n) for n = 414224097 and 414224106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468669 + ... + 469551.

It is an arithmetic number, because the mean of its divisors is an integer number (16389360).

Almost surely, 2^414224130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414224130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524459520).

414224130 is an abundant number, since it is smaller than the sum of its proper divisors (634694910).

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

414224130 is a wasteful number, since it uses less digits than its factorization.

414224130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735.

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

The square root of 414224130 is about 20352.4968984152. The cubic root of 414224130 is about 745.4384638744.

Adding to 414224130 its reverse (31422414), we get a palindrome (445646544).

The spelling of 414224130 in words is "four hundred fourteen million, two hundred twenty-four thousand, one hundred thirty".