414400004 has 12 divisors (see below), whose sum is σ = 738883404. Its totient is φ = 203290464.

The previous prime is 414400001. The next prime is 414400009. The reversal of 414400004 is 400004414.

It can be written as a sum of positive squares in 2 ways, for example, as 327537604 + 86862400 = 18098^2 + 9320^2 .

It is not an unprimeable number, because it can be changed into a prime (414400001) 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 3 ways as a sum of consecutive naturals, for example, 977147 + ... + 977570.

It is an arithmetic number, because the mean of its divisors is an integer number (61573617).

Almost surely, 2^414400004 is an apocalyptic number.

It is an amenable number.

414400004 is a deficient number, since it is larger than the sum of its proper divisors (324483400).

414400004 is a wasteful number, since it uses less digits than its factorization.

414400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954774 (or 1954772 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 414400004 is about 20356.8171382463. The cubic root of 414400004 is about 745.5439499985.

Adding to 414400004 its reverse (400004414), we get a palindrome (814404418).

The spelling of 414400004 in words is "four hundred fourteen million, four hundred thousand, four".