248961150 has 72 divisors (see below), whose sum is σ = 670675824. Its totient is φ = 66211200.

The previous prime is 248961149. The next prime is 248961157. The reversal of 248961150 is 51169842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248961157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 326770 + ... + 327530.

It is an arithmetic number, because the mean of its divisors is an integer number (9314942).

Almost surely, 2^248961150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248961150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335337912).

248961150 is an abundant number, since it is smaller than the sum of its proper divisors (421714674).

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

248961150 is a wasteful number, since it uses less digits than its factorization.

248961150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 248961150 is about 15778.5027806823. The cubic root of 248961150 is about 629.0867341890.

The spelling of 248961150 in words is "two hundred forty-eight million, nine hundred sixty-one thousand, one hundred fifty".