414430020 has 120 divisors (see below), whose sum is σ = 1327987584. Its totient is φ = 108143424.

The previous prime is 414430019. The next prime is 414430021. The reversal of 414430020 is 20034414.

It is an interprime number because it is at equal distance from previous prime (414430019) and next prime (414430021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414429975 and 414430002.

It is not an unprimeable number, because it can be changed into a prime (414430021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73419 + ... + 78861.

Almost surely, 2^414430020 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 414430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663993792).

414430020 is an abundant number, since it is smaller than the sum of its proper divisors (913557564).

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

414430020 is a wasteful number, since it uses less digits than its factorization.

414430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 414430020 is about 20357.5543717805. The cubic root of 414430020 is about 745.5619500843.

Adding to 414430020 its reverse (20034414), we get a palindrome (434464434).

The spelling of 414430020 in words is "four hundred fourteen million, four hundred thirty thousand, twenty".