406949476500 has 2304 divisors, whose sum is σ = 1789758996480. Its totient is φ = 75545395200.

The previous prime is 406949476411. The next prime is 406949476511. The reversal of 406949476500 is 5674949604.

It is a happy number.

406949476500 is a `hidden beast` number, since 4 + 0 + 6 + 94 + 9 + 47 + 6 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8658499477 + ... + 8658499523.

It is an arithmetic number, because the mean of its divisors is an integer number (776805120).

Almost surely, 2^406949476500 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 406949476500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894879498240).

406949476500 is an abundant number, since it is smaller than the sum of its proper divisors (1382809519980).

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

406949476500 is a wasteful number, since it uses less digits than its factorization.

406949476500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 406949476500 in words is "four hundred six billion, nine hundred forty-nine million, four hundred seventy-six thousand, five hundred".