414014420 has 24 divisors (see below), whose sum is σ = 870121224. Its totient is φ = 165474176.

The previous prime is 414014417. The next prime is 414014437. The reversal of 414014420 is 24410414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49815364 + 364199056 = 7058^2 + 19084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414014392 and 414014401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19922 + ... + 34998.

It is an arithmetic number, because the mean of its divisors is an integer number (36255051).

Almost surely, 2^414014420 is an apocalyptic number.

It is an amenable number.

414014420 is an abundant number, since it is smaller than the sum of its proper divisors (456106804).

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

414014420 is a wasteful number, since it uses less digits than its factorization.

414014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16459 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414014420 is about 20347.3442984582. The cubic root of 414014420 is about 745.3126444790.

Adding to 414014420 its reverse (24410414), we get a palindrome (438424834).

The spelling of 414014420 in words is "four hundred fourteen million, fourteen thousand, four hundred twenty".