417620616 has 64 divisors (see below), whose sum is σ = 1200182400. Its totient is φ = 118622208.

The previous prime is 417620611. The next prime is 417620641. The reversal of 417620616 is 616026714.

It is not an unprimeable number, because it can be changed into a prime (417620611) 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, 21880 + ... + 36248.

It is an arithmetic number, because the mean of its divisors is an integer number (18752850).

Almost surely, 2^417620616 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 417620616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600091200).

417620616 is an abundant number, since it is smaller than the sum of its proper divisors (782561784).

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

417620616 is a wasteful number, since it uses less digits than its factorization.

417620616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14558 (or 14554 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 417620616 is about 20435.7680550548. The cubic root of 417620616 is about 747.4703610504.

The spelling of 417620616 in words is "four hundred seventeen million, six hundred twenty thousand, six hundred sixteen".