418980 has 24 divisors (see below), whose sum is σ = 1173312. Its totient is φ = 111712.

The previous prime is 418961. The next prime is 418981. The reversal of 418980 is 89814.

It is a happy number.

418980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418980.

It is not an unprimeable number, because it can be changed into a prime (418981) by changing a digit.

418980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (48888).

2⁴¹⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

418980 is an abundant number, since it is smaller than the sum of its proper divisors (754332).

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

418980 is a wasteful number, since it uses less digits than its factorization.

418980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 418980 is about 647.2866443856. The cubic root of 418980 is about 74.8280505241.

The spelling of 418980 in words is "four hundred eighteen thousand, nine hundred eighty".