414320020 has 12 divisors (see below), whose sum is σ = 870072084. Its totient is φ = 165728000.

The previous prime is 414319967. The next prime is 414320021. The reversal of 414320020 is 20023414.

It can be written as a sum of positive squares in 2 ways, for example, as 172081924 + 242238096 = 13118^2 + 15564^2 .

It is a super-2 number, since 2×414320020² = 343322157945600800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414319976 and 414320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414320021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10357981 + ... + 10358020.

It is an arithmetic number, because the mean of its divisors is an integer number (72506007).

Almost surely, 2^414320020 is an apocalyptic number.

It is an amenable number.

414320020 is an abundant number, since it is smaller than the sum of its proper divisors (455752064).

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

414320020 is a wasteful number, since it uses less digits than its factorization.

414320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20716010 (or 20716008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 414320020 is about 20354.8524927104. The cubic root of 414320020 is about 745.4959807066.

Adding to 414320020 its reverse (20023414), we get a palindrome (434343434).

The spelling of 414320020 in words is "four hundred fourteen million, three hundred twenty thousand, twenty".