414441420 has 48 divisors (see below), whose sum is σ = 1162613088. Its totient is φ = 110310400.

The previous prime is 414441373. The next prime is 414441437. The reversal of 414441420 is 24144414.

It is a happy number.

It is a super-2 number, since 2×414441420² = 343523381223232800, which contains 22 as substring.

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, 27220 + ... + 39620.

It is an arithmetic number, because the mean of its divisors is an integer number (24221106).

Almost surely, 2^414441420 is an apocalyptic number.

It is an amenable number.

414441420 is an abundant number, since it is smaller than the sum of its proper divisors (748171668).

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

414441420 is a wasteful number, since it uses less digits than its factorization.

414441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 414441420 is about 20357.8343641950. The cubic root of 414441420 is about 745.5687862431.

Adding to 414441420 its reverse (24144414), we get a palindrome (438585834).

The spelling of 414441420 in words is "four hundred fourteen million, four hundred forty-one thousand, four hundred twenty".