410323968 has 264 divisors, whose sum is σ = 1314370512. Its totient is φ = 127401984.

The previous prime is 410323961. The next prime is 410323973. The reversal of 410323968 is 869323014.

410323968 is a `hidden beast` number, since 410 + 3 + 239 + 6 + 8 = 666.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (410323961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4230096 + ... + 4230192.

Almost surely, 2^410323968 is an apocalyptic number.

410323968 is a gapful number since it is divisible by the number (48) 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 410323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657185256).

410323968 is an abundant number, since it is smaller than the sum of its proper divisors (904046544).

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

410323968 is an equidigital number, since it uses as much as digits as its factorization.

410323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

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

The square root of 410323968 is about 20256.4549711938. The cubic root of 410323968 is about 743.0915029501.

The spelling of 410323968 in words is "four hundred ten million, three hundred twenty-three thousand, nine hundred sixty-eight".