410823424 has 72 divisors (see below), whose sum is σ = 933633792. Its totient is φ = 178590720.

The previous prime is 410823389. The next prime is 410823433. The reversal of 410823424 is 424328014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 410823392 and 410823401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61597 + ... + 67939.

It is an arithmetic number, because the mean of its divisors is an integer number (12967136).

Almost surely, 2^410823424 is an apocalyptic number.

410823424 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 410823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466816896).

410823424 is an abundant number, since it is smaller than the sum of its proper divisors (522810368).

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

410823424 is a wasteful number, since it uses less digits than its factorization.

410823424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 410823424 is about 20268.7795389856. The cubic root of 410823424 is about 743.3928835282.

The spelling of 410823424 in words is "four hundred ten million, eight hundred twenty-three thousand, four hundred twenty-four".