415780 has 12 divisors (see below), whose sum is σ = 873180. Its totient is φ = 166304.

The previous prime is 415759. The next prime is 415783. The reversal of 415780 is 87514.

415780 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 268324 + 147456 = 518^2 + 384^2 .

It is not an unprimeable number, because it can be changed into a prime (415783) by changing a digit.

415780 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 10375 + ... + 10414.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

2⁴¹⁵⁷⁸⁰ is an apocalyptic number.

It is an amenable number.

415780 is an abundant number, since it is smaller than the sum of its proper divisors (457400).

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

415780 is a wasteful number, since it uses less digits than its factorization.

415780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20798 (or 20796 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 415780 is about 644.8100495495. The cubic root of 415780 is about 74.6370613214.

The spelling of 415780 in words is "four hundred fifteen thousand, seven hundred eighty".