248873625 has 288 divisors, whose sum is σ = 641302272. Its totient is φ = 89856000.

The previous prime is 248873617. The next prime is 248873629. The reversal of 248873625 is 526378842.

248873625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248873625 - 2³ = 248873617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (645120) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248873629) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14639617 + ... + 14639633.

It is an arithmetic number, because the mean of its divisors is an integer number (2226744).

Almost surely, 2^248873625 is an apocalyptic number.

248873625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248873625 is an abundant number, since it is smaller than the sum of its proper divisors (392428647).

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

248873625 is a wasteful number, since it uses less digits than its factorization.

248873625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 248873625 is about 15775.7289847411. The cubic root of 248873625 is about 629.0130047871.

The spelling of 248873625 in words is "two hundred forty-eight million, eight hundred seventy-three thousand, six hundred twenty-five".