417896496 has 100 divisors (see below), whose sum is σ = 1251333600. Its totient is φ = 134483328.

The previous prime is 417896473. The next prime is 417896509. The reversal of 417896496 is 694698714.

417896496 is a `hidden beast` number, since 417 + 89 + 64 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 32025 + ... + 43143.

It is an arithmetic number, because the mean of its divisors is an integer number (12513336).

Almost surely, 2^417896496 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 417896496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625666800).

417896496 is an abundant number, since it is smaller than the sum of its proper divisors (833437104).

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

417896496 is a wasteful number, since it uses less digits than its factorization.

417896496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11153 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 417896496 is about 20442.5168704834. The cubic root of 417896496 is about 747.6349176872.

The spelling of 417896496 in words is "four hundred seventeen million, eight hundred ninety-six thousand, four hundred ninety-six".