414135330 has 64 divisors (see below), whose sum is σ = 1160110080. Its totient is φ = 92643264.

The previous prime is 414135329. The next prime is 414135331. The reversal of 414135330 is 33531414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414135329) and next prime (414135331).

It is a self number, because there is not a number n which added to its sum of digits gives 414135330.

It is not an unprimeable number, because it can be changed into a prime (414135331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11110 + ... + 30849.

It is an arithmetic number, because the mean of its divisors is an integer number (18126720).

Almost surely, 2^414135330 is an apocalyptic number.

414135330 is an abundant number, since it is smaller than the sum of its proper divisors (745974750).

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

414135330 is a wasteful number, since it uses less digits than its factorization.

414135330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42023.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 414135330 is about 20350.3152309737. The cubic root of 414135330 is about 745.3851918561.

Adding to 414135330 its reverse (33531414), we get a palindrome (447666744).

The spelling of 414135330 in words is "four hundred fourteen million, one hundred thirty-five thousand, three hundred thirty".