417860490240 has 264 divisors, whose sum is σ = 1450511323560. Its totient is φ = 111226650624.

The previous prime is 417860490191. The next prime is 417860490241. The reversal of 417860490240 is 42094068714.

417860490240 is a `hidden beast` number, since 4 + 17 + 8 + 604 + 9 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23918478336 + 393942011904 = 154656^2 + 627648^2 .

It is a super-2 number, since 2×417860490240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417860490241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26211552 + ... + 26227488.

Almost surely, 2^417860490240 is an apocalyptic number.

417860490240 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 417860490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725255661780).

417860490240 is an abundant number, since it is smaller than the sum of its proper divisors (1032650833320).

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

417860490240 is a wasteful number, since it uses less digits than its factorization.

417860490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16516 counting only the distinct ones).

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

The spelling of 417860490240 in words is "four hundred seventeen billion, eight hundred sixty million, four hundred ninety thousand, two hundred forty".