415212 has 24 divisors (see below), whose sum is σ = 1107456. Its totient is φ = 118608.

The previous prime is 415201. The next prime is 415213. The reversal of 415212 is 212514.

It is a junction number, because it is equal to n+sod(n) for n = 415191 and 415200.

It is not an unprimeable number, because it can be changed into a prime (415213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2388 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (46144).

2⁴¹⁵²¹² is an apocalyptic number.

415212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

415212 is an abundant number, since it is smaller than the sum of its proper divisors (692244).

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

415212 is a wasteful number, since it uses less digits than its factorization.

415212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4955 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 415212 is about 644.3694592390. The cubic root of 415212 is about 74.6030584270.

Adding to 415212 its reverse (212514), we get a palindrome (627726).

It can be divided in two parts, 41 and 5212, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 415212 in words is "four hundred fifteen thousand, two hundred twelve".