248953660 has 48 divisors (see below), whose sum is σ = 539120736. Its totient is φ = 96509952.

The previous prime is 248953651. The next prime is 248953669. The reversal of 248953660 is 66359842.

It is an interprime number because it is at equal distance from previous prime (248953651) and next prime (248953669).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248953669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116764 + ... + 118876.

It is an arithmetic number, because the mean of its divisors is an integer number (11231682).

Almost surely, 2^248953660 is an apocalyptic number.

248953660 is a gapful number since it is divisible by the number (20) 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 248953660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269560368).

248953660 is an abundant number, since it is smaller than the sum of its proper divisors (290167076).

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

248953660 is a wasteful number, since it uses less digits than its factorization.

248953660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 248953660 is about 15778.2654306486. The cubic root of 248953660 is about 629.0804254310.

The spelling of 248953660 in words is "two hundred forty-eight million, nine hundred fifty-three thousand, six hundred sixty".