472410225 has 189 divisors, whose sum is σ = 1068026043. Its totient is φ = 206569440.

The previous prime is 472410223. The next prime is 472410247. The reversal of 472410225 is 522014274.

The square root of 472410225 is 21735.

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

It can be written as a sum of positive squares in only one way, i.e., 170067681 + 302342544 = 13041^2 + 17388^2 .

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

It is not a de Polignac number, because 472410225 - 2¹ = 472410223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (472410223) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 20539564 + ... + 20539586.

Almost surely, 2^472410225 is an apocalyptic number.

472410225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

472410225 is the 21735-th square number.

472410225 is the 10868-th centered octagonal number.

It is an amenable number.

472410225 is an abundant number, since it is smaller than the sum of its proper divisors (595615818).

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

472410225 is an equidigital number, since it uses as much as digits as its factorization.

472410225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The cubic root of 472410225 is about 778.8247834592.

Adding to 472410225 its reverse (522014274), we get a palindrome (994424499).

The spelling of 472410225 in words is "four hundred seventy-two million, four hundred ten thousand, two hundred twenty-five".