414073212 has 96 divisors (see below), whose sum is σ = 1130088960. Its totient is φ = 115568640.

The previous prime is 414073193. The next prime is 414073217. The reversal of 414073212 is 212370414.

It is a happy number.

It is a super-6 number, since 6×414073212⁶ (a number of 53 digits) contains 666666 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414073217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724887 + ... + 725457.

It is an arithmetic number, because the mean of its divisors is an integer number (11771760).

Almost surely, 2^414073212 is an apocalyptic number.

414073212 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 414073212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565044480).

414073212 is an abundant number, since it is smaller than the sum of its proper divisors (716015748).

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

414073212 is a wasteful number, since it uses less digits than its factorization.

414073212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 414073212 is about 20348.7889565940. The cubic root of 414073212 is about 745.3479221126.

The spelling of 414073212 in words is "four hundred fourteen million, seventy-three thousand, two hundred twelve".