404209850625 has 225 divisors, whose sum is σ = 856085760959. Its totient is φ = 183713544000.

The previous prime is 404209850623. The next prime is 404209850651. The reversal of 404209850625 is 526058902404.

The square root of 404209850625 is 635775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 124779204081 + 279430646544 = 353241^2 + 528612^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 404209850625 - 2¹ = 404209850623 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 not an unprimeable number, because it can be changed into a prime (404209850623) 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 224 ways as a sum of consecutive naturals, for example, 2336473039 + ... + 2336473211.

Almost surely, 2^404209850625 is an apocalyptic number.

404209850625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

404209850625 is the 635775-th square number.

404209850625 is the 317888-th centered octagonal number.

It is an amenable number.

404209850625 is an abundant number, since it is smaller than the sum of its proper divisors (451875910334).

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

404209850625 is an frugal number, since it uses more digits than its factorization.

404209850625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 404209850625 in words is "four hundred four billion, two hundred nine million, eight hundred fifty thousand, six hundred twenty-five".