413860980 has 96 divisors (see below), whose sum is σ = 1255572864. Its totient is φ = 101251584.

The previous prime is 413860877. The next prime is 413860981. The reversal of 413860980 is 89068314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413860981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133407 + ... + 136473.

It is an arithmetic number, because the mean of its divisors is an integer number (13078884).

Almost surely, 2^413860980 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 413860980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627786432).

413860980 is an abundant number, since it is smaller than the sum of its proper divisors (841711884).

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

413860980 is a wasteful number, since it uses less digits than its factorization.

413860980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 413860980 is about 20343.5734324135. The cubic root of 413860980 is about 745.2205583925.

The spelling of 413860980 in words is "four hundred thirteen million, eight hundred sixty thousand, nine hundred eighty".