406912 has 48 divisors (see below), whose sum is σ = 939420. Its totient is φ = 174080.

The previous prime is 406907. The next prime is 406951. The reversal of 406912 is 219604.

406912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23928 + ... + 23944.

2⁴⁰⁶⁹¹² 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 406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469710).

406912 is an abundant number, since it is smaller than the sum of its proper divisors (532508).

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

406912 is a wasteful number, since it uses less digits than its factorization.

406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 406912 is about 637.8965433360. The cubic root of 406912 is about 74.1026090557.

Multiplying 406912 by its sum of digits (22), we get a square (8952064 = 2992²).

406912 divided by its sum of digits (22) gives a square (18496 = 136²).

It can be divided in two parts, 4069 and 12, that multiplied together give a triangular number (48828 = T₃₁₂).

The spelling of 406912 in words is "four hundred six thousand, nine hundred twelve".