411420240 has 480 divisors, whose sum is σ = 1774386432. Its totient is φ = 82944000.

The previous prime is 411420239. The next prime is 411420253. The reversal of 411420240 is 42024114.

411420240 is a `hidden beast` number, since 4 + 1 + 1 + 420 + 240 = 666.

It is a super-2 number, since 2×411420240² = 338533227763315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2272950 + ... + 2273130.

Almost surely, 2^411420240 is an apocalyptic number.

411420240 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 411420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887193216).

411420240 is an abundant number, since it is smaller than the sum of its proper divisors (1362966192).

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

411420240 is a wasteful number, since it uses less digits than its factorization.

411420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 411420240 is about 20283.4967399608. The cubic root of 411420240 is about 743.7526926909.

Adding to 411420240 its reverse (42024114), we get a palindrome (453444354).

The spelling of 411420240 in words is "four hundred eleven million, four hundred twenty thousand, two hundred forty".