412540420 has 48 divisors (see below), whose sum is σ = 907482240. Its totient is φ = 157234176.

The previous prime is 412540357. The next prime is 412540421. The reversal of 412540420 is 24045214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 412540391 and 412540400.

It is not an unprimeable number, because it can be changed into a prime (412540421) 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 15 ways as a sum of consecutive naturals, for example, 128596 + ... + 131764.

It is an arithmetic number, because the mean of its divisors is an integer number (18905880).

Almost surely, 2^412540420 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 412540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453741120).

412540420 is an abundant number, since it is smaller than the sum of its proper divisors (494941820).

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

412540420 is a wasteful number, since it uses less digits than its factorization.

412540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 412540420 is about 20311.0910588279. The cubic root of 412540420 is about 744.4270898325.

Adding to 412540420 its reverse (24045214), we get a palindrome (436585634).

The spelling of 412540420 in words is "four hundred twelve million, five hundred forty thousand, four hundred twenty".