417687696 has 90 divisors (see below), whose sum is σ = 1210994850. Its totient is φ = 134389248.

The previous prime is 417687691. The next prime is 417687713. The reversal of 417687696 is 696786714.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1527696 + 416160000 = 1236^2 + 20400^2 .

It is a super-2 number, since 2×417687696² = 348926022779576832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (417687691) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119380 + ... + 122828.

Almost surely, 2^417687696 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 417687696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605497425).

417687696 is an abundant number, since it is smaller than the sum of its proper divisors (793307154).

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

417687696 is a wasteful number, since it uses less digits than its factorization.

417687696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3483 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 417687696 is about 20437.4092291562. The cubic root of 417687696 is about 747.5103795310.

The spelling of 417687696 in words is "four hundred seventeen million, six hundred eighty-seven thousand, six hundred ninety-six".