48780225 has 120 divisors (see below), whose sum is σ = 103977720. Its totient is φ = 22394880.

The previous prime is 48780223. The next prime is 48780227. The reversal of 48780225 is 52208784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48780223) and next prime (48780227).

It can be written as a sum of positive squares in 12 ways, for example, as 10439361 + 38340864 = 3231^2 + 6192^2 .

It is not a de Polignac number, because 48780225 - 2¹ = 48780223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48780225.

It is not an unprimeable number, because it can be changed into a prime (48780223) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447471 + ... + 447579.

It is an arithmetic number, because the mean of its divisors is an integer number (866481).

Almost surely, 2^48780225 is an apocalyptic number.

48780225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48780225 is an abundant number, since it is smaller than the sum of its proper divisors (55197495).

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

48780225 is a wasteful number, since it uses less digits than its factorization.

48780225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48780225 is about 6984.2841437043. The cubic root of 48780225 is about 365.3826599228.

The spelling of 48780225 in words is "forty-eight million, seven hundred eighty thousand, two hundred twenty-five".