414505212 has 48 divisors (see below), whose sum is σ = 1065585024. Its totient is φ = 124360000.

The previous prime is 414505211. The next prime is 414505213. The reversal of 414505212 is 212505414.

It is an interprime number because it is at equal distance from previous prime (414505211) and next prime (414505213).

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 (414505211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214 + ... + 28877.

It is an arithmetic number, because the mean of its divisors is an integer number (22199688).

Almost surely, 2^414505212 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 414505212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532792512).

414505212 is an abundant number, since it is smaller than the sum of its proper divisors (651079812).

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

414505212 is a wasteful number, since it uses less digits than its factorization.

414505212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31210 (or 31208 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 414505212 is about 20359.4010717408. The cubic root of 414505212 is about 745.6070376353.

The spelling of 414505212 in words is "four hundred fourteen million, five hundred five thousand, two hundred twelve".