248414625 has 96 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 120384000.

The previous prime is 248414623. The next prime is 248414653. The reversal of 248414625 is 526414842.

248414625 is a `hidden beast` number, since 24 + 8 + 4 + 1 + 4 + 625 = 666.

It is not a de Polignac number, because 248414625 - 2¹ = 248414623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248414625.

It is not an unprimeable number, because it can be changed into a prime (248414623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592666 + ... + 593084.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2^248414625 is an apocalyptic number.

248414625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248414625 is a deficient number, since it is larger than the sum of its proper divisors (242199135).

248414625 is a wasteful number, since it uses less digits than its factorization.

248414625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 248414625 is about 15761.1746072430. The cubic root of 248414625 is about 628.6260685850.

The spelling of 248414625 in words is "two hundred forty-eight million, four hundred fourteen thousand, six hundred twenty-five".