414530312 has 64 divisors (see below), whose sum is σ = 943384320. Its totient is φ = 166699008.

The previous prime is 414530309. The next prime is 414530327. The reversal of 414530312 is 213035414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 615608 + ... + 616280.

It is an arithmetic number, because the mean of its divisors is an integer number (14740380).

Almost surely, 2^414530312 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 414530312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471692160).

414530312 is an abundant number, since it is smaller than the sum of its proper divisors (528854008).

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

414530312 is a wasteful number, since it uses less digits than its factorization.

414530312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 414530312 is about 20360.0174852577. The cubic root of 414530312 is about 745.6220871919.

Adding to 414530312 its reverse (213035414), we get a palindrome (627565726).

The spelling of 414530312 in words is "four hundred fourteen million, five hundred thirty thousand, three hundred twelve".