414144420 has 96 divisors (see below), whose sum is σ = 1194310656. Its totient is φ = 107184000.

The previous prime is 414144413. The next prime is 414144443. The reversal of 414144420 is 24441414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284695 + ... + 286145.

It is an arithmetic number, because the mean of its divisors is an integer number (12440736).

Almost surely, 2^414144420 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 414144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597155328).

414144420 is an abundant number, since it is smaller than the sum of its proper divisors (780166236).

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

414144420 is a wasteful number, since it uses less digits than its factorization.

414144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

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

The square root of 414144420 is about 20350.5385678119. The cubic root of 414144420 is about 745.3906453889.

Adding to 414144420 its reverse (24441414), we get a palindrome (438585834).

The spelling of 414144420 in words is "four hundred fourteen million, one hundred forty-four thousand, four hundred twenty".