414403104 has 48 divisors (see below), whose sum is σ = 1089008928. Its totient is φ = 137981952.

The previous prime is 414403103. The next prime is 414403117. The reversal of 414403104 is 401304414.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (414403103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115059 + ... + 118605.

It is an arithmetic number, because the mean of its divisors is an integer number (22687686).

Almost surely, 2^414403104 is an apocalyptic number.

It is an amenable number.

414403104 is an abundant number, since it is smaller than the sum of its proper divisors (674605824).

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

414403104 is a wasteful number, since it uses less digits than its factorization.

414403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414403104 is about 20356.8932796731. The cubic root of 414403104 is about 745.5458090561.

Adding to 414403104 its reverse (401304414), we get a palindrome (815707518).

It can be divided in two parts, 41440 and 3104, that added together give a palindrome (44544).

The spelling of 414403104 in words is "four hundred fourteen million, four hundred three thousand, one hundred four".