406584540 has 36 divisors (see below), whose sum is σ = 1233306984. Its totient is φ = 108422496.

The previous prime is 406584533. The next prime is 406584559. The reversal of 406584540 is 45485604.

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

It is a super-5 number, since 5×406584540⁵ (a number of 44 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406584495 and 406584504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129222 + ... + 1129581.

Almost surely, 2^406584540 is an apocalyptic number.

It is an amenable number.

406584540 is an abundant number, since it is smaller than the sum of its proper divisors (826722444).

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

406584540 is a wasteful number, since it uses less digits than its factorization.

406584540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258818 (or 2258813 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 406584540 is about 20163.9415789671. The cubic root of 406584540 is about 740.8272584383.

The spelling of 406584540 in words is "four hundred six million, five hundred eighty-four thousand, five hundred forty".