417405330 has 48 divisors (see below), whose sum is σ = 1090088064. Its totient is φ = 110812320.

The previous prime is 417405299. The next prime is 417405349. The reversal of 417405330 is 33504714.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 417405294 and 417405303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10215 + ... + 30645.

It is an arithmetic number, because the mean of its divisors is an integer number (22710168).

Almost surely, 2^417405330 is an apocalyptic number.

It is a pronic number, being equal to 20430×20431.

It is a practical number, because each smaller number is the sum of distinct divisors of 417405330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545044032).

417405330 is an abundant number, since it is smaller than the sum of its proper divisors (672682734).

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

417405330 is a wasteful number, since it uses less digits than its factorization.

417405330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20671 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 417405330 is about 20430.4999938817. The cubic root of 417405330 is about 747.3418971148.

The spelling of 417405330 in words is "four hundred seventeen million, four hundred five thousand, three hundred thirty".