405660717225 has 27 divisors (see below), whose sum is σ = 726600530149. Its totient is φ = 216347287200.

The previous prime is 405660717199. The next prime is 405660717233. The reversal of 405660717225 is 522717066504.

The square root of 405660717225 is 636915.

It is a perfect power (a square), and thus also a powerful number.

405660717225 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 607 + 17 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127434006441 + 278226710784 = 356979^2 + 527472^2 .

It is not a de Polignac number, because 405660717225 - 2¹⁷ = 405660586153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9532495 + ... + 9574955.

Almost surely, 2^405660717225 is an apocalyptic number.

405660717225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405660717225 is the 636915-th square number.

405660717225 is the 318458-th centered octagonal number.

It is an amenable number.

405660717225 is a deficient number, since it is larger than the sum of its proper divisors (320939812924).

405660717225 is an frugal number, since it uses more digits than its factorization.

405660717225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84938 (or 42469 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 405660717225 in words is "four hundred five billion, six hundred sixty million, seven hundred seventeen thousand, two hundred twenty-five".