405725066600 has 288 divisors, whose sum is σ = 1119350466360. Its totient is φ = 136329984000.

The previous prime is 405725066581. The next prime is 405725066609. The reversal of 405725066600 is 6660527504.

It can be written as a sum of positive squares in 12 ways, for example, as 651372484 + 405073694116 = 25522^2 + 636454^2 .

It is a super-2 number, since 2×405725066600² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405725066609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189501530 + ... + 189503670.

Almost surely, 2^405725066600 is an apocalyptic number.

405725066600 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 405725066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559675233180).

405725066600 is an abundant number, since it is smaller than the sum of its proper divisors (713625399760).

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

405725066600 is a wasteful number, since it uses less digits than its factorization.

405725066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 405725066600 in words is "four hundred five billion, seven hundred twenty-five million, sixty-six thousand, six hundred".