414030414 has 32 divisors (see below), whose sum is σ = 953819136. Its totient is φ = 117361440.

The previous prime is 414030413. The next prime is 414030433.

414030414 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×414030414² = 342842367434022792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414030413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33477 + ... + 44144.

It is an arithmetic number, because the mean of its divisors is an integer number (29806848).

Almost surely, 2^414030414 is an apocalyptic number.

414030414 is an abundant number, since it is smaller than the sum of its proper divisors (539788722).

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

414030414 is a wasteful number, since it uses less digits than its factorization.

414030414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77760.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414030414 is about 20347.7373189257. The cubic root of 414030414 is about 745.3222418717.

The spelling of 414030414 in words is "four hundred fourteen million, thirty thousand, four hundred fourteen".