414314320 has 40 divisors (see below), whose sum is σ = 1100893824. Its totient is φ = 142050432.

The previous prime is 414314311. The next prime is 414314333. The reversal of 414314320 is 23413414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414314291 and 414314300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369364 + ... + 370483.

Almost surely, 2^414314320 is an apocalyptic number.

414314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414314320 is an abundant number, since it is smaller than the sum of its proper divisors (686579504).

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

414314320 is a wasteful number, since it uses less digits than its factorization.

414314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739867 (or 739861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 414314320 is about 20354.7124764758. The cubic root of 414314320 is about 745.4925619752.

Adding to 414314320 its reverse (23413414), we get a palindrome (437727734).

The spelling of 414314320 in words is "four hundred fourteen million, three hundred fourteen thousand, three hundred twenty".