411233280 has 176 divisors, whose sum is σ = 1349447904. Its totient is φ = 106823680.

The previous prime is 411233237. The next prime is 411233287. The reversal of 411233280 is 82332114.

It is a super-2 number, since 2×411233280² = 338225621159116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 411233280.

It is not an unprimeable number, because it can be changed into a prime (411233287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629434 + ... + 630086.

Almost surely, 2^411233280 is an apocalyptic number.

411233280 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 411233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674723952).

411233280 is an abundant number, since it is smaller than the sum of its proper divisors (938214624).

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

411233280 is a wasteful number, since it uses less digits than its factorization.

411233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 411233280 is about 20278.8875434527. The cubic root of 411233280 is about 743.6400154668.

Adding to 411233280 its reverse (82332114), we get a palindrome (493565394).

It can be divided in two parts, 41 and 1233280, that added together give a palindrome (1233321).

The spelling of 411233280 in words is "four hundred eleven million, two hundred thirty-three thousand, two hundred eighty".