417930240 has 528 divisors, whose sum is σ = 1726161408. Its totient is φ = 84344832.

The previous prime is 417930221. The next prime is 417930257. The reversal of 417930240 is 42039714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 417930198 and 417930207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18170869 + ... + 18170891.

Almost surely, 2^417930240 is an apocalyptic number.

417930240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863080704).

417930240 is an abundant number, since it is smaller than the sum of its proper divisors (1308231168).

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

417930240 is a wasteful number, since it uses less digits than its factorization.

417930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 417930240 is about 20443.3421925085. The cubic root of 417930240 is about 747.6550403044.

Adding to 417930240 its reverse (42039714), we get a palindrome (459969954).

The spelling of 417930240 in words is "four hundred seventeen million, nine hundred thirty thousand, two hundred forty".