412234020 has 288 divisors, whose sum is σ = 1487880576. Its totient is φ = 91238400.

The previous prime is 412233971. The next prime is 412234033. The reversal of 412234020 is 20432214.

412234020 is a `hidden beast` number, since 41 + 223 + 402 + 0 = 666.

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 = 412233984 and 412234002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1245255 + ... + 1245585.

It is an arithmetic number, because the mean of its divisors is an integer number (5166252).

Almost surely, 2^412234020 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 412234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743940288).

412234020 is an abundant number, since it is smaller than the sum of its proper divisors (1075646556).

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

412234020 is a wasteful number, since it uses less digits than its factorization.

412234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 406 counting only the distinct ones).

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

The square root of 412234020 is about 20303.5469807618. The cubic root of 412234020 is about 744.2427451058.

Adding to 412234020 its reverse (20432214), we get a palindrome (432666234).

It can be divided in two parts, 412 and 234020, that added together give a palindrome (234432).

The spelling of 412234020 in words is "four hundred twelve million, two hundred thirty-four thousand, twenty".