416605280 has 288 divisors, whose sum is σ = 1275015168. Its totient is φ = 125798400.

The previous prime is 416605253. The next prime is 416605289. The reversal of 416605280 is 82506614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416605289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5867645 + ... + 5867715.

It is an arithmetic number, because the mean of its divisors is an integer number (4427136).

Almost surely, 2^416605280 is an apocalyptic number.

416605280 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 416605280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637507584).

416605280 is an abundant number, since it is smaller than the sum of its proper divisors (858409888).

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

416605280 is a wasteful number, since it uses less digits than its factorization.

416605280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 416605280 is about 20410.9108077028. The cubic root of 416605280 is about 746.8641094915.

The spelling of 416605280 in words is "four hundred sixteen million, six hundred five thousand, two hundred eighty".