413985280 has 160 divisors (see below), whose sum is σ = 1060646400. Its totient is φ = 154632192.

The previous prime is 413985277. The next prime is 413985287. The reversal of 413985280 is 82589314.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (413985287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4651476 + ... + 4651564.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2^413985280 is an apocalyptic number.

413985280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

413985280 is an abundant number, since it is smaller than the sum of its proper divisors (646661120).

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

413985280 is an equidigital number, since it uses as much as digits as its factorization.

413985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 413985280 is about 20346.6282218947. The cubic root of 413985280 is about 745.2951580349.

The spelling of 413985280 in words is "four hundred thirteen million, nine hundred eighty-five thousand, two hundred eighty".