417413388 has 96 divisors (see below), whose sum is σ = 1157459968. Its totient is φ = 114566400.

The previous prime is 417413369. The next prime is 417413389. The reversal of 417413388 is 883314714.

It is a super-3 number, since 3×417413388³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (417413389) 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, 408318 + ... + 409338.

Almost surely, 2^417413388 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 417413388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578729984).

417413388 is an abundant number, since it is smaller than the sum of its proper divisors (740046580).

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

417413388 is a wasteful number, since it uses less digits than its factorization.

417413388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1221 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 417413388 is about 20430.6971980890. The cubic root of 417413388 is about 747.3467062231.

The spelling of 417413388 in words is "four hundred seventeen million, four hundred thirteen thousand, three hundred eighty-eight".