414980 has 12 divisors (see below), whose sum is σ = 871500. Its totient is φ = 165984.

The previous prime is 414977. The next prime is 414991. The reversal of 414980 is 89414.

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 350464 = 254^2 + 592^2 .

It is a plaindrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10355 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (72625).

2⁴¹⁴⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

414980 is an abundant number, since it is smaller than the sum of its proper divisors (456520).

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

414980 is a wasteful number, since it uses less digits than its factorization.

414980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20758 (or 20756 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 414980 is about 644.1894131387. The cubic root of 414980 is about 74.5891610010.

The spelling of 414980 in words is "four hundred fourteen thousand, nine hundred eighty".