411167232 has 240 divisors, whose sum is σ = 1418123520. Its totient is φ = 117282816.

The previous prime is 411167227. The next prime is 411167303. The reversal of 411167232 is 232761114.

411167232 is a `hidden beast` number, since 411 + 16 + 7 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 411167196 and 411167205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677073 + ... + 677679.

It is an arithmetic number, because the mean of its divisors is an integer number (5908848).

Almost surely, 2^411167232 is an apocalyptic number.

411167232 is a gapful number since it is divisible by the number (42) 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 411167232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709061760).

411167232 is an abundant number, since it is smaller than the sum of its proper divisors (1006956288).

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

411167232 is an equidigital number, since it uses as much as digits as its factorization.

411167232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 619 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 411167232 is about 20277.2589863620. The cubic root of 411167232 is about 743.6002014344.

The spelling of 411167232 in words is "four hundred eleven million, one hundred sixty-seven thousand, two hundred thirty-two".