248049180 has 288 divisors, whose sum is σ = 853070400. Its totient is φ = 58060800.

The previous prime is 248049163. The next prime is 248049247. The reversal of 248049180 is 81940842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4066350 + ... + 4066410.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^248049180 is an apocalyptic number.

248049180 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 248049180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

248049180 is an abundant number, since it is smaller than the sum of its proper divisors (605021220).

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

248049180 is a wasteful number, since it uses less digits than its factorization.

248049180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 248049180 is about 15749.5771371805. The cubic root of 248049180 is about 628.3176581367.

The spelling of 248049180 in words is "two hundred forty-eight million, forty-nine thousand, one hundred eighty".