416380 has 24 divisors (see below), whose sum is σ = 887040. Its totient is φ = 164160.

The previous prime is 416359. The next prime is 416387. The reversal of 416380 is 83614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416387) by changing a digit.

416380 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2085 + ... + 2275.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁴¹⁶³⁸⁰ is an apocalyptic number.

It is an amenable number.

416380 is an abundant number, since it is smaller than the sum of its proper divisors (470660).

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

416380 is a wasteful number, since it uses less digits than its factorization.

416380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 416380 is about 645.2751351168. The cubic root of 416380 is about 74.6729462547.

Adding to 416380 its reverse (83614), we get a palindrome (499994).

It can be divided in two parts, 4 and 16380, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 416380 in words is "four hundred sixteen thousand, three hundred eighty".