406205460 has 36 divisors (see below), whose sum is σ = 1232157108. Its totient is φ = 108321408.

The previous prime is 406205447. The next prime is 406205479. The reversal of 406205460 is 64502604.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79174404 + 327031056 = 8898^2 + 18084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 1128169 + ... + 1128528.

Almost surely, 2^406205460 is an apocalyptic number.

It is an amenable number.

406205460 is an abundant number, since it is smaller than the sum of its proper divisors (825951648).

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

406205460 is a wasteful number, since it uses less digits than its factorization.

406205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256712 (or 2256707 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406205460 is about 20154.5394390445. The cubic root of 406205460 is about 740.5969495332.

The spelling of 406205460 in words is "four hundred six million, two hundred five thousand, four hundred sixty".