416822560 has 192 divisors, whose sum is σ = 1281982464. Its totient is φ = 124185600.

The previous prime is 416822533. The next prime is 416822561. The reversal of 416822560 is 65228614.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (416822561) 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 31 ways as a sum of consecutive naturals, for example, 282625 + ... + 284095.

It is an arithmetic number, because the mean of its divisors is an integer number (6676992).

Almost surely, 2^416822560 is an apocalyptic number.

416822560 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 416822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640991232).

416822560 is an abundant number, since it is smaller than the sum of its proper divisors (865159904).

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

416822560 is a wasteful number, since it uses less digits than its factorization.

416822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 416822560 is about 20416.2327572939. The cubic root of 416822560 is about 746.9939289614.

The spelling of 416822560 in words is "four hundred sixteen million, eight hundred twenty-two thousand, five hundred sixty".