4205412 has 48 divisors (see below), whose sum is σ = 11383680. Its totient is φ = 1340064.

The previous prime is 4205393. The next prime is 4205437. The reversal of 4205412 is 2145024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 3330.

It is an arithmetic number, because the mean of its divisors is an integer number (237160).

Almost surely, 2^4205412 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 4205412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691840).

4205412 is an abundant number, since it is smaller than the sum of its proper divisors (7178268).

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

4205412 is a wasteful number, since it uses less digits than its factorization.

4205412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4205412 is about 2050.7101209093. The cubic root of 4205412 is about 161.4121354593.

It can be divided in two parts, 420 and 5412, that added together give a cube (5832 = 18³).

The spelling of 4205412 in words is "four million, two hundred five thousand, four hundred twelve".