417797664 has 192 divisors, whose sum is σ = 1207664640. Its totient is φ = 126120960.

The previous prime is 417797663. The next prime is 417797671. The reversal of 417797664 is 466797714.

It is not an unprimeable number, because it can be changed into a prime (417797663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4056237 + ... + 4056339.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2^417797664 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 417797664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

417797664 is an abundant number, since it is smaller than the sum of its proper divisors (789866976).

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

417797664 is a wasteful number, since it uses less digits than its factorization.

417797664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 417797664 is about 20440.0994126741. The cubic root of 417797664 is about 747.5759747985.

Subtracting 417797664 from its reverse (466797714), we obtain a triangular number (49000050 = T₉₈₉₉).

The spelling of 417797664 in words is "four hundred seventeen million, seven hundred ninety-seven thousand, six hundred sixty-four".