419980 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 144320.

The previous prime is 419959. The next prime is 419999. The reversal of 419980 is 89914.

It is a super-4 number, since 4×419980⁴ (a number of 24 digits) contains 4444 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019 + ... + 5101.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁴¹⁹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

419980 is an abundant number, since it is smaller than the sum of its proper divisors (596084).

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

419980 is a wasteful number, since it uses less digits than its factorization.

419980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 419980 is about 648.0586393221. The cubic root of 419980 is about 74.8875351434.

The spelling of 419980 in words is "four hundred nineteen thousand, nine hundred eighty".