248480225 has 18 divisors (see below), whose sum is σ = 358421814. Its totient is φ = 170385600.

The previous prime is 248480209. The next prime is 248480227. The reversal of 248480225 is 522084842.

It can be written as a sum of positive squares in 3 ways, for example, as 19018321 + 229461904 = 4361^2 + 15148^2 .

It is not a de Polignac number, because 248480225 - 2⁴ = 248480209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248480227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100196 + ... + 102645.

It is an arithmetic number, because the mean of its divisors is an integer number (19912323).

Almost surely, 2^248480225 is an apocalyptic number.

248480225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248480225 is a deficient number, since it is larger than the sum of its proper divisors (109941589).

248480225 is a wasteful number, since it uses less digits than its factorization.

248480225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202865 (or 202853 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 248480225 is about 15763.2555330427. The cubic root of 248480225 is about 628.6813984468.

It can be divided in two parts, 24 and 8480225, that multiplied together give a triangular number (203525400 = T₂₀₁₇₅).

The spelling of 248480225 in words is "two hundred forty-eight million, four hundred eighty thousand, two hundred twenty-five".