414434320 has 40 divisors (see below), whose sum is σ = 964610136. Its totient is φ = 165593088.

The previous prime is 414434311. The next prime is 414434333. The reversal of 414434320 is 23434414.

It can be written as a sum of positive squares in 4 ways, for example, as 229583104 + 184851216 = 15152^2 + 13596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 89994 + ... + 94486.

Almost surely, 2^414434320 is an apocalyptic number.

414434320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414434320 is an abundant number, since it is smaller than the sum of its proper divisors (550175816).

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

414434320 is a wasteful number, since it uses less digits than its factorization.

414434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 414434320 is about 20357.6599834067. The cubic root of 414434320 is about 745.5645286501.

Adding to 414434320 its reverse (23434414), we get a palindrome (437868734).

The spelling of 414434320 in words is "four hundred fourteen million, four hundred thirty-four thousand, three hundred twenty".