8402472225 has 189 divisors, whose sum is σ = 18361163817. Its totient is φ = 3801530880.

The previous prime is 8402472223. The next prime is 8402472229. The reversal of 8402472225 is 5222742048.

The square root of 8402472225 is 91665.

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

It can be written as a sum of positive squares in 4 ways, for example, as 308950929 + 8093521296 = 17577^2 + 89964^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 8402472225 - 2¹ = 8402472223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8402472225.

It is not an unprimeable number, because it can be changed into a prime (8402472223) 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 188 ways as a sum of consecutive naturals, for example, 86623377 + ... + 86623473.

Almost surely, 2^8402472225 is an apocalyptic number.

8402472225 is the 91665-th square number.

8402472225 is the 45833-rd centered octagonal number.

It is an amenable number.

8402472225 is an abundant number, since it is smaller than the sum of its proper divisors (9958691592).

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

8402472225 is an frugal number, since it uses more digits than its factorization.

8402472225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The cubic root of 8402472225 is about 2032.9921195036.

Multiplying 8402472225 by its sum of digits (36), we get a square (302489000100 = 549990²).

The spelling of 8402472225 in words is "eight billion, four hundred two million, four hundred seventy-two thousand, two hundred twenty-five".