414301212 has 72 divisors (see below), whose sum is σ = 1149168384. Its totient is φ = 125064576.

The previous prime is 414301211. The next prime is 414301241. The reversal of 414301212 is 212103414.

It is a super-3 number, since 3×414301212³ (a number of 27 digits) contains 333 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414301211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16453 + ... + 33155.

It is an arithmetic number, because the mean of its divisors is an integer number (15960672).

Almost surely, 2^414301212 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 414301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574584192).

414301212 is an abundant number, since it is smaller than the sum of its proper divisors (734867172).

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

414301212 is a wasteful number, since it uses less digits than its factorization.

414301212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16779 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414301212 is about 20354.3904846104. The cubic root of 414301212 is about 745.4846999736.

Adding to 414301212 its reverse (212103414), we get a palindrome (626404626).

The spelling of 414301212 in words is "four hundred fourteen million, three hundred one thousand, two hundred twelve".