414414340 has 12 divisors (see below), whose sum is σ = 870270156. Its totient is φ = 165765728.

The previous prime is 414414337. The next prime is 414414353. The reversal of 414414340 is 43414414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106832896 + 307581444 = 10336^2 + 17538^2 .

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 3 ways as a sum of consecutive naturals, for example, 10360339 + ... + 10360378.

It is an arithmetic number, because the mean of its divisors is an integer number (72522513).

Almost surely, 2^414414340 is an apocalyptic number.

It is an amenable number.

414414340 is an abundant number, since it is smaller than the sum of its proper divisors (455855816).

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

414414340 is a wasteful number, since it uses less digits than its factorization.

414414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720726 (or 20720724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 414414340 is about 20357.1692531157. The cubic root of 414414340 is about 745.5525471628.

Adding to 414414340 its reverse (43414414), we get a palindrome (457828754).

The spelling of 414414340 in words is "four hundred fourteen million, four hundred fourteen thousand, three hundred forty".