411233940 has 288 divisors, whose sum is σ = 1417992576. Its totient is φ = 95800320.

The previous prime is 411233899. The next prime is 411233957. The reversal of 411233940 is 49332114.

It is a super-2 number, since 2×411233940² = 338226706815847200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6137787 + ... + 6137853.

Almost surely, 2^411233940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708996288).

411233940 is an abundant number, since it is smaller than the sum of its proper divisors (1006758636).

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

411233940 is a wasteful number, since it uses less digits than its factorization.

411233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 411233940 is about 20278.9038165282. The cubic root of 411233940 is about 743.6404132963.

The spelling of 411233940 in words is "four hundred eleven million, two hundred thirty-three thousand, nine hundred forty".