414440450 has 144 divisors (see below), whose sum is σ = 904495680. Its totient is φ = 140743680.

The previous prime is 414440447. The next prime is 414440459. The reversal of 414440450 is 54044414.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414440459) 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 71 ways as a sum of consecutive naturals, for example, 9638129 + ... + 9638171.

It is an arithmetic number, because the mean of its divisors is an integer number (6281220).

Almost surely, 2^414440450 is an apocalyptic number.

414440450 is an abundant number, since it is smaller than the sum of its proper divisors (490055230).

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

414440450 is a wasteful number, since it uses less digits than its factorization.

414440450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 414440450 is about 20357.8105404289. The cubic root of 414440450 is about 745.5682045748.

Adding to 414440450 its reverse (54044414), we get a palindrome (468484864).

The spelling of 414440450 in words is "four hundred fourteen million, four hundred forty thousand, four hundred fifty".