417497664 has 112 divisors (see below), whose sum is σ = 1150233920. Its totient is φ = 133539840.

The previous prime is 417497651. The next prime is 417497669. The reversal of 417497664 is 466794714.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (417497669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503202 + ... + 504030.

Almost surely, 2^417497664 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 417497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575116960).

417497664 is an abundant number, since it is smaller than the sum of its proper divisors (732736256).

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

417497664 is a wasteful number, since it uses less digits than its factorization.

417497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 417497664 is about 20432.7595786766. The cubic root of 417497664 is about 747.3969994132.

The spelling of 417497664 in words is "four hundred seventeen million, four hundred ninety-seven thousand, six hundred sixty-four".