414980580 has 96 divisors (see below), whose sum is σ = 1347849216. Its totient is φ = 93430656.

The previous prime is 414980569. The next prime is 414980581. The reversal of 414980580 is 85089414.

It is a super-3 number, since 3×414980580³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (414980581) 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, 20767 + ... + 35513.

It is an arithmetic number, because the mean of its divisors is an integer number (14040096).

Almost surely, 2^414980580 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 414980580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673924608).

414980580 is an abundant number, since it is smaller than the sum of its proper divisors (932868636).

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

414980580 is a wasteful number, since it uses less digits than its factorization.

414980580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14833 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 414980580 is about 20371.0721367335. The cubic root of 414980580 is about 745.8919575099.

The spelling of 414980580 in words is "four hundred fourteen million, nine hundred eighty thousand, five hundred eighty".