414023020 has 24 divisors (see below), whose sum is σ = 874259568. Its totient is φ = 164692800.

The previous prime is 414023017. The next prime is 414023033. The reversal of 414023020 is 20320414.

It is a super-2 number, since 2×414023020² = 342830122179840800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414022985 and 414023003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53566 + ... + 60805.

It is an arithmetic number, because the mean of its divisors is an integer number (36427482).

Almost surely, 2^414023020 is an apocalyptic number.

It is an amenable number.

414023020 is an abundant number, since it is smaller than the sum of its proper divisors (460236548).

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

414023020 is a wasteful number, since it uses less digits than its factorization.

414023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114561 (or 114559 counting only the distinct ones).

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

The square root of 414023020 is about 20347.5556271509. Note that the first 3 decimals coincide. The cubic root of 414023020 is about 745.3178050435.

Adding to 414023020 its reverse (20320414), we get a palindrome (434343434).

The spelling of 414023020 in words is "four hundred fourteen million, twenty-three thousand, twenty".