412352420 has 48 divisors (see below), whose sum is σ = 894762288. Its totient is φ = 159505920.

The previous prime is 412352401. The next prime is 412352431. The reversal of 412352420 is 24253214.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 109035364 + 303317056 = 10442^2 + 17416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126410 + ... + 129630.

It is an arithmetic number, because the mean of its divisors is an integer number (18640881).

Almost surely, 2^412352420 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 412352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447381144).

412352420 is an abundant number, since it is smaller than the sum of its proper divisors (482409868).

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

412352420 is a wasteful number, since it uses less digits than its factorization.

412352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 412352420 is about 20306.4625181246. The cubic root of 412352420 is about 744.3139909692.

The spelling of 412352420 in words is "four hundred twelve million, three hundred fifty-two thousand, four hundred twenty".