412024320 has 200 divisors, whose sum is σ = 1476483624. Its totient is φ = 109817856.

The previous prime is 412024309. The next prime is 412024321. The reversal of 412024320 is 23420214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412024293 and 412024302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412024321) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 206367 + ... + 208353.

Almost surely, 2^412024320 is an apocalyptic number.

412024320 is a gapful number since it is divisible by the number (40) 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 412024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738241812).

412024320 is an abundant number, since it is smaller than the sum of its proper divisors (1064459304).

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

412024320 is an equidigital number, since it uses as much as digits as its factorization.

412024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 412024320 is about 20298.3822015450. The cubic root of 412024320 is about 744.1165270137.

Adding to 412024320 its reverse (23420214), we get a palindrome (435444534).

The spelling of 412024320 in words is "four hundred twelve million, twenty-four thousand, three hundred twenty".