411966324 has 240 divisors, whose sum is σ = 1374172800. Its totient is φ = 106686720.

The previous prime is 411966323. The next prime is 411966329. The reversal of 411966324 is 423669114.

411966324 is a `hidden beast` number, since 4 + 1 + 19 + 6 + 632 + 4 = 666.

It is a super-2 number, since 2×411966324² = 339432504220145952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411966323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1222284 + ... + 1222620.

It is an arithmetic number, because the mean of its divisors is an integer number (5725720).

Almost surely, 2^411966324 is an apocalyptic number.

411966324 is a gapful number since it is divisible by the number (44) 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 411966324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687086400).

411966324 is an abundant number, since it is smaller than the sum of its proper divisors (962206476).

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

411966324 is a wasteful number, since it uses less digits than its factorization.

411966324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 411966324 is about 20296.9535645131. The cubic root of 411966324 is about 744.0816117550.

The spelling of 411966324 in words is "four hundred eleven million, nine hundred sixty-six thousand, three hundred twenty-four".