406306420 has 36 divisors (see below), whose sum is σ = 923934060. Its totient is φ = 150019584.

The previous prime is 406306387. The next prime is 406306451. The reversal of 406306420 is 24603604.

It can be written as a sum of positive squares in 6 ways, for example, as 183819364 + 222487056 = 13558^2 + 14916^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56725 + ... + 63484.

It is an arithmetic number, because the mean of its divisors is an integer number (25664835).

Almost surely, 2^406306420 is an apocalyptic number.

It is an amenable number.

406306420 is an abundant number, since it is smaller than the sum of its proper divisors (517627640).

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

406306420 is a wasteful number, since it uses less digits than its factorization.

406306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120244 (or 120229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 406306420 is about 20157.0439301005. The cubic root of 406306420 is about 740.6583014693.

The spelling of 406306420 in words is "four hundred six million, three hundred six thousand, four hundred twenty".