414042020 has 24 divisors (see below), whose sum is σ = 993701184. Its totient is φ = 141957216.

The previous prime is 414042011. The next prime is 414042029. The reversal of 414042020 is 20240414.

It is an interprime number because it is at equal distance from previous prime (414042011) and next prime (414042029).

It is a self number, because there is not a number n which added to its sum of digits gives 414042020.

It is not an unprimeable number, because it can be changed into a prime (414042029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1478582 + ... + 1478861.

It is an arithmetic number, because the mean of its divisors is an integer number (41404216).

Almost surely, 2^414042020 is an apocalyptic number.

It is an amenable number.

414042020 is an abundant number, since it is smaller than the sum of its proper divisors (579659164).

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

414042020 is a wasteful number, since it uses less digits than its factorization.

414042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957459 (or 2957457 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 414042020 is about 20348.0225083422. The cubic root of 414042020 is about 745.3292060373.

Adding to 414042020 its reverse (20240414), we get a palindrome (434282434).

The spelling of 414042020 in words is "four hundred fourteen million, forty-two thousand, twenty".