414442260 has 72 divisors (see below), whose sum is σ = 1264503240. Its totient is φ = 109870848.

The previous prime is 414442253. The next prime is 414442271. The reversal of 414442260 is 62244414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 396089604 = 4284^2 + 19902^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24486 + ... + 37794.

It is an arithmetic number, because the mean of its divisors is an integer number (17562545).

Almost surely, 2^414442260 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 414442260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632251620).

414442260 is an abundant number, since it is smaller than the sum of its proper divisors (850060980).

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

414442260 is a wasteful number, since it uses less digits than its factorization.

414442260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13497 (or 13492 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 414442260 is about 20357.8549950627. The cubic root of 414442260 is about 745.5692899551.

Adding to 414442260 its reverse (62244414), we get a palindrome (476686674).

The spelling of 414442260 in words is "four hundred fourteen million, four hundred forty-two thousand, two hundred sixty".