414030512 has 80 divisors (see below), whose sum is σ = 980776512. Its totient is φ = 165273600.

The previous prime is 414030503. The next prime is 414030527. The reversal of 414030512 is 215030414.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191228 + ... + 193380.

Almost surely, 2^414030512 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 414030512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490388256).

414030512 is an abundant number, since it is smaller than the sum of its proper divisors (566746000).

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

414030512 is a wasteful number, since it uses less digits than its factorization.

414030512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 414030512 is about 20347.7397270557. The cubic root of 414030512 is about 745.3223006770.

Adding to 414030512 its reverse (215030414), we get a palindrome (629060926).

The spelling of 414030512 in words is "four hundred fourteen million, thirty thousand, five hundred twelve".