414384080 has 40 divisors (see below), whose sum is σ = 1051030944. Its totient is φ = 150684800.

The previous prime is 414384067. The next prime is 414384083. The reversal of 414384080 is 80483414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414384083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234566 + ... + 236325.

Almost surely, 2^414384080 is an apocalyptic number.

414384080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414384080 is an abundant number, since it is smaller than the sum of its proper divisors (636646864).

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

414384080 is a wasteful number, since it uses less digits than its factorization.

414384080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470915 (or 470909 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 414384080 is about 20356.4260124414. The cubic root of 414384080 is about 745.5344002930.

The spelling of 414384080 in words is "four hundred fourteen million, three hundred eighty-four thousand, eighty".