412672 has 44 divisors (see below), whose sum is σ = 917056. Its totient is φ = 184320.

The previous prime is 412667. The next prime is 412717. The reversal of 412672 is 276214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13297 + ... + 13327.

2⁴¹²⁶⁷² 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 412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458528).

412672 is an abundant number, since it is smaller than the sum of its proper divisors (504384).

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

412672 is a wasteful number, since it uses less digits than its factorization.

412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 412672 is about 642.3955167963. The cubic root of 412672 is about 74.4506226566.

Adding to 412672 its reverse (276214), we get a palindrome (688886).

The spelling of 412672 in words is "four hundred twelve thousand, six hundred seventy-two".