248864280 has 256 divisors, whose sum is σ = 928972800. Its totient is φ = 52047360.

The previous prime is 248864251. The next prime is 248864333. The reversal of 248864280 is 82468842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494509 + ... + 495011.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^248864280 is an apocalyptic number.

248864280 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 248864280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

248864280 is an abundant number, since it is smaller than the sum of its proper divisors (680108520).

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

248864280 is a wasteful number, since it uses less digits than its factorization.

248864280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 248864280 is about 15775.4327991342. The cubic root of 248864280 is about 629.0051317148.

The spelling of 248864280 in words is "two hundred forty-eight million, eight hundred sixty-four thousand, two hundred eighty".