417424896 has 120 divisors (see below), whose sum is σ = 1376925264. Its totient is φ = 119255040.

The previous prime is 417424879. The next prime is 417424901. The reversal of 417424896 is 698424714.

It is a super-2 number, since 2×417424896² = 348487087601221632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25786 + ... + 38726.

Almost surely, 2^417424896 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 417424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688462632).

417424896 is an abundant number, since it is smaller than the sum of its proper divisors (959500368).

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

417424896 is a wasteful number, since it uses less digits than its factorization.

417424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12953 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 417424896 is about 20430.9788311769. The cubic root of 417424896 is about 747.3535742242.

The spelling of 417424896 in words is "four hundred seventeen million, four hundred twenty-four thousand, eight hundred ninety-six".