406586340 has 144 divisors (see below), whose sum is σ = 1298409840. Its totient is φ = 102850560.

The previous prime is 406586333. The next prime is 406586363. The reversal of 406586340 is 43685604.

406586340 is a `hidden beast` number, since 40 + 6 + 586 + 34 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30536676 + 376049664 = 5526^2 + 19392^2 .

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 = 406586295 and 406586304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272316 + ... + 273804.

It is an arithmetic number, because the mean of its divisors is an integer number (9016735).

Almost surely, 2^406586340 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 406586340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649204920).

406586340 is an abundant number, since it is smaller than the sum of its proper divisors (891823500).

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

406586340 is a wasteful number, since it uses less digits than its factorization.

406586340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406586340 is about 20163.9862130483. The cubic root of 406586340 is about 740.8283516813.

The spelling of 406586340 in words is "four hundred six million, five hundred eighty-six thousand, three hundred forty".