406458 has 40 divisors (see below), whose sum is σ = 985908. Its totient is φ = 124416.

The previous prime is 406447. The next prime is 406481. The reversal of 406458 is 854604.

It can be written as a sum of positive squares in 2 ways, for example, as 363609 + 42849 = 603^2 + 207^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2010 + ... + 2202.

2⁴⁰⁶⁴⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492954).

406458 is an abundant number, since it is smaller than the sum of its proper divisors (579450).

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

406458 is a wasteful number, since it uses less digits than its factorization.

406458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 406458 is about 637.5405869433. The cubic root of 406458 is about 74.0750395368.

The spelling of 406458 in words is "four hundred six thousand, four hundred fifty-eight".