248090172 has 72 divisors (see below), whose sum is σ = 646948176. Its totient is φ = 73920000.

The previous prime is 248090153. The next prime is 248090173. The reversal of 248090172 is 271090842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248090173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87172 + ... + 89972.

Almost surely, 2^248090172 is an apocalyptic number.

248090172 is a gapful number since it is divisible by the number (22) 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 248090172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323474088).

248090172 is an abundant number, since it is smaller than the sum of its proper divisors (398858004).

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

248090172 is a wasteful number, since it uses less digits than its factorization.

248090172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 248090172 is about 15750.8784516928. The cubic root of 248090172 is about 628.3522676427.

The spelling of 248090172 in words is "two hundred forty-eight million, ninety thousand, one hundred seventy-two".