248969160 has 256 divisors, whose sum is σ = 953856000. Its totient is φ = 57127680.

The previous prime is 248969137. The next prime is 248969167. The reversal of 248969160 is 61969842.

It is a happy number.

248969160 is a `hidden beast` number, since 2 + 489 + 6 + 9 + 160 = 666.

It is a super-2 number, since 2×248969160² = 123971285262211200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (248969167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225169 + ... + 226271.

It is an arithmetic number, because the mean of its divisors is an integer number (3726000).

Almost surely, 2^248969160 is an apocalyptic number.

248969160 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 248969160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476928000).

248969160 is an abundant number, since it is smaller than the sum of its proper divisors (704886840).

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

248969160 is a wasteful number, since it uses less digits than its factorization.

248969160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248969160 is about 15778.7566050054. The cubic root of 248969160 is about 629.0934807981.

The spelling of 248969160 in words is "two hundred forty-eight million, nine hundred sixty-nine thousand, one hundred sixty".