412304020 has 48 divisors (see below), whose sum is σ = 897901200. Its totient is φ = 158842880.

The previous prime is 412304017. The next prime is 412304023. The reversal of 412304020 is 20403214.

It is an interprime number because it is at equal distance from previous prime (412304017) and next prime (412304023).

It can be written as a sum of positive squares in 8 ways, for example, as 9659664 + 402644356 = 3108^2 + 20066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412303985 and 412304003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412304023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371226 + ... + 372334.

It is an arithmetic number, because the mean of its divisors is an integer number (18706275).

Almost surely, 2^412304020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448950600).

412304020 is an abundant number, since it is smaller than the sum of its proper divisors (485597180).

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

412304020 is a wasteful number, since it uses less digits than its factorization.

412304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 412304020 is about 20305.2707443166. The cubic root of 412304020 is about 744.2848684638.

Adding to 412304020 its reverse (20403214), we get a palindrome (432707234).

The spelling of 412304020 in words is "four hundred twelve million, three hundred four thousand, twenty".