411503040 has 336 divisors, whose sum is σ = 1580997600. Its totient is φ = 97542144.

The previous prime is 411503039. The next prime is 411503047. The reversal of 411503040 is 40305114.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411503047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085571 + ... + 1085949.

It is an arithmetic number, because the mean of its divisors is an integer number (4705350).

Almost surely, 2^411503040 is an apocalyptic number.

411503040 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 411503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790498800).

411503040 is an abundant number, since it is smaller than the sum of its proper divisors (1169494560).

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

411503040 is a wasteful number, since it uses less digits than its factorization.

411503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 411503040 is about 20285.5377054689. The cubic root of 411503040 is about 743.8025837642.

Adding to 411503040 its reverse (40305114), we get a palindrome (451808154).

The spelling of 411503040 in words is "four hundred eleven million, five hundred three thousand, forty".