414130344 has 64 divisors (see below), whose sum is σ = 1066875840. Its totient is φ = 133862400.

The previous prime is 414130331. The next prime is 414130369. The reversal of 414130344 is 443031414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355507 + ... + 356669.

It is an arithmetic number, because the mean of its divisors is an integer number (16669935).

Almost surely, 2^414130344 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 414130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533437920).

414130344 is an abundant number, since it is smaller than the sum of its proper divisors (652745496).

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

414130344 is a wasteful number, since it uses less digits than its factorization.

414130344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 414130344 is about 20350.1927263601. The cubic root of 414130344 is about 745.3822004784.

Adding to 414130344 its reverse (443031414), we get a palindrome (857161758).

The spelling of 414130344 in words is "four hundred fourteen million, one hundred thirty thousand, three hundred forty-four".