416930560 has 72 divisors (see below), whose sum is σ = 1002876336. Its totient is φ = 166072320.

The previous prime is 416930551. The next prime is 416930567. The reversal of 416930560 is 65039614.

It is not an unprimeable number, because it can be changed into a prime (416930567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392430 + ... + 393490.

It is an arithmetic number, because the mean of its divisors is an integer number (13928838).

Almost surely, 2^416930560 is an apocalyptic number.

416930560 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 416930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501438168).

416930560 is an abundant number, since it is smaller than the sum of its proper divisors (585945776).

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

416930560 is a wasteful number, since it uses less digits than its factorization.

416930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 416930560 is about 20418.8775401588. The cubic root of 416930560 is about 747.0584395272.

The spelling of 416930560 in words is "four hundred sixteen million, nine hundred thirty thousand, five hundred sixty".