406323405600 has 1296 divisors, whose sum is σ = 1722319327008. Its totient is φ = 82663096320.

The previous prime is 406323405559. The next prime is 406323405601. The reversal of 406323405600 is 6504323604.

It is a super-2 number, since 2×406323405600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406323405601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 721710919 + ... + 721711481.

It is an arithmetic number, because the mean of its divisors is an integer number (1328950098).

Almost surely, 2^406323405600 is an apocalyptic number.

406323405600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406323405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861159663504).

406323405600 is an abundant number, since it is smaller than the sum of its proper divisors (1315995921408).

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

406323405600 is a wasteful number, since it uses less digits than its factorization.

406323405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 406323405600 in words is "four hundred six billion, three hundred twenty-three million, four hundred five thousand, six hundred".