414304212 has 192 divisors, whose sum is σ = 1238630400. Its totient is φ = 107251200.

The previous prime is 414304193. The next prime is 414304249. The reversal of 414304212 is 212403414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2169037 + ... + 2169227.

It is an arithmetic number, because the mean of its divisors is an integer number (6451200).

Almost surely, 2^414304212 is an apocalyptic number.

414304212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414304212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619315200).

414304212 is an abundant number, since it is smaller than the sum of its proper divisors (824326188).

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

414304212 is a wasteful number, since it uses less digits than its factorization.

414304212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414304212 is about 20354.4641786513. The cubic root of 414304212 is about 745.4864993477.

Adding to 414304212 its reverse (212403414), we get a palindrome (626707626).

The spelling of 414304212 in words is "four hundred fourteen million, three hundred four thousand, two hundred twelve".