406600679300 has 72 divisors (see below), whose sum is σ = 898947354312. Its totient is φ = 159604480000.

The previous prime is 406600679279. The next prime is 406600679339. The reversal of 406600679300 is 3976006604.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 197406044416 + 209194634884 = 444304^2 + 457378^2 .

It is a super-2 number, since 2×406600679300² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963170 + ... + 1319430.

It is an arithmetic number, because the mean of its divisors is an integer number (12485379921).

Almost surely, 2^406600679300 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 406600679300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449473677156).

406600679300 is an abundant number, since it is smaller than the sum of its proper divisors (492346675012).

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

406600679300 is a wasteful number, since it uses less digits than its factorization.

406600679300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356489 (or 356482 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 406600679300 in words is "four hundred six billion, six hundred million, six hundred seventy-nine thousand, three hundred".