225000360 has 192 divisors, whose sum is σ = 795674880. Its totient is φ = 54812160.

The previous prime is 225000359. The next prime is 225000371. The reversal of 225000360 is 63000522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612897 + ... + 613263.

It is an arithmetic number, because the mean of its divisors is an integer number (4144140).

Almost surely, 2^225000360 is an apocalyptic number.

225000360 is a gapful number since it is divisible by the number (20) 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 225000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397837440).

225000360 is an abundant number, since it is smaller than the sum of its proper divisors (570674520).

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

225000360 is a wasteful number, since it uses less digits than its factorization.

225000360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225000360 is about 15000.0119999952. The cubic root of 225000360 is about 608.2205239413.

Subtracting from 225000360 its product of nonzero digits (360), we obtain a square (225000000 = 15000²).

Adding to 225000360 its reverse (63000522), we get a palindrome (288000882).

It can be divided in two parts, 225000 and 360, that multiplied together give a square (81000000 = 9000²).

The spelling of 225000360 in words is "two hundred twenty-five million, three hundred sixty", and thus it is an aban number.