414025344 has 288 divisors, whose sum is σ = 1355105700. Its totient is φ = 125411328.

The previous prime is 414025343. The next prime is 414025349. The reversal of 414025344 is 443520414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 10497600 = 20088^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414025343) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 14276722 + ... + 14276750.

Almost surely, 2^414025344 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 414025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677552850).

414025344 is an abundant number, since it is smaller than the sum of its proper divisors (941080356).

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

414025344 is an frugal number, since it uses more digits than its factorization.

414025344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 414025344 is about 20347.6127346674. The cubic root of 414025344 is about 745.3191995838.

Adding to 414025344 its reverse (443520414), we get a palindrome (857545758).

The spelling of 414025344 in words is "four hundred fourteen million, twenty-five thousand, three hundred forty-four".